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1) Kanish invested Rs.8000 in a simple interest scheme at the rate of R% per annum for 3 years. Kanika invested Rs.7500 in a simple interest scheme at the rate of (R + 5)% per annum for 2 years. If the ratio of the interest received by Kanish to Kanika is 6:5, then find the value of R?
A.12
B.18
C.10
D.15
E.20
2) Amit invested Rs.6000 in a compound interest scheme at the rate of 15% per annum for 2 years and also invested Rs.7000 in a simple interest scheme at the rate of 18% per annum for 3 years. What is the difference between the interests earned by Amit from both schemes?
A.Rs.1565
B.Rs.1765
C.Rs.1865
D.Rs.1960
E.None of these
3) The compound interest on a certain sum at the rate of 10% half yearly for one year is Rs.1236 less than the simple interest on the same sum for 2 years at the rate of 18% per annum. Find the interest earned from the simple interest scheme?
A.Rs.1728
B.Rs.1732
C.Rs.1736
D.Rs.1745
E.Rs.1748
4) The simple interest on Rs. X at 8% p.a. for 2 years is Rs.176 less than the simple interest on Rs. (X+600) at 10% p.a. for 2 years. What is the compound interest on a sum of Rs. X is lent for 2 years at 20% p.a?
A.Rs.416
B.Rs.846
C.Rs.686
D.Rs.616
E.None of these
5) A certain sum of money is invested in a simple interest scheme at the rate of 19% per annum for 2 years and the same amount is invested in a compound interest scheme at the same rate and same period. If the difference between the interest earned by simple and compound interest scheme is Rs.180.5, then find the sum?
A.Rs.4000
B.Rs.4500
C.Rs.3000
D.Rs.5000
E.None of these
6) The simple interest on a sum of money is 1/25 of the principal and the number of years (n) is equal to the rate of interest(r) per annum. Find the interest earned on a sum of Rs.2800 was lent at compound interest for ‘n’ years at 2r% per annum.
A.Rs.228.58
B.Rs.288.48
C.Rs.228.48
D.Rs.228.88
E.None of these
7) Sathya invested Rs.x in simple interest scheme A at 15% per annum and also she invested Rs.(5000 – x) in compound interest scheme B at 20% per annum. After 2 years, Sathya received the interest from scheme A and B is Rs.1920. Find the value of x?
A.2000
B.2400
C.2800
D.3200
E.None of these
8) Ram invested Rs.x in simple interest at the rate of 12% per annum for 5 years and Sam invested Rs.(x + 1000) in compound interest at the rate of 10% per annum for two years. If Ram received the interest amount is Rs.1350 more than that of Sam, then find the value of x.
A.4000
B.3000
C.5000
D.6000
E.None of these
9) A sum of money becomes 36 times in 10 years at compound interest and becomes 64 times in 12 years. So find the rate of interest per annum?
A.55.55%
B.22.22%
C.33.33%
D.44.44%
E.66.66%
10) Tina has Rs.2000 more than Dina. Tina invested her amount in a simple interest scheme at the rate of 15% per annum for 2 years and Dina invested her amount in a simple interest scheme at the rate of 20% per annum for 2 years. If the interest amount received by Tina is Rs.200 more than that of Dina, then find the value of x?
A.2000
B.3000
C.3600
D.4000
E.2800
Try SI and CI Questions For Online Mock Test
Answers :
1) Answer: D
SI received by Kanish = 8000 * R * 3/100 = 240R
SI received by Kanika = 7500 * (R + 5) * 2/100 = 150R + 750
240R/(150R + 750) = 6/5
200R = 150R + 750
R = 15%
2) Answer: E
CI = 6000 * (1 + 15/100)2 – 6000
= Rs.1935
SI = 7000 * 18 * 3/100 = Rs.3780
Difference = 3780 – 1935 = Rs.1845
3) Answer: A
(x * 2 * 18/100) – (x * ( 1 + (10/2)/100)2 – x) = 1236
0.36x – 0.1025x = 1236
x = 4800
SI = 4800 * 0.36 = 1728
4) Answer: D
Simple interest:
[(X+600)*10*2/100] – [ X*8*2/100] = 17620X+12000-16X=17600
4X=5600
X= Rs.1400
Compound interest:
Required interest = [1400* 120/100 * 120/100] – 1400 = Rs.616
5) Answer: D
180.5 = P * 19 * 19/(100 * 100)
P = 5000
6) Answer: C
Number of years (n) = rate of interest (r)
n= r
P * r * r / 100 = 1/25 P
r2 = 100/25
r = 10/5 = 2%
n= 2 years
Compound interest earned on Rs.2800 for 2 years at 2r% (2*2) = 4%
[2800 * 104/100 * 104/ 100 ] – 2800 =Rs.3028.48 – 2800 = Rs.228.48
7) Answer: A
(x * 15 * 2/100) + ((5000 – x) * (120/100)2 – (5000 – x)) = 1920
0.3x + 7200 – 1.44x – 5000 + x = 1920
0.14x = 280
x = 2000
8) Answer: A
SI = P * N * R/100
CI = P * (1 + R/100)n – P
SI = x * 12 * 5/100 = 0.6x
CI = (x + 1000) * (1 + 10/100)2 – (x + 1000)
= 21/100 * (x + 1000)
0.6x – 21x/100 – 210 = 1350
60x – 21x – 21000 = 135000
x = Rs.4000
9) Answer: C
36P = P * (1 + R/100)10 —-(1)
64P = P * (1 + R/100)12 —–(2)
(2)/(1)
(1 + R/100)12 – 10 = 64/36
(1 + R/100) = 4/3
100 + R = 400/3
R = 33.33%
10) Answer: D
Dina = x
Tina = x + 2000
SI received by Dina = x * 20 * 2/100 = 2x/5
SI received by Tina = (x + 2000) * 2 * 15/100 = (3x + 6000)/10
(3x + 6000)/10 – 2x/5 = 200
3x – 4x = 2000 – 6000
x = 4000
11) A sum of money Rs.7000 is divided into two parts. First part of the money invested in simple interest at the rate of 12% per annum for 3 years and second part of money invested in simple interest at the rate of 10% per annum for 2 years. If the interest obtained in each part is equal, then find the interest amount in first part?
A.Rs.800
B.Rs.600
C.Rs.900
D.Rs.700
E.Rs.1000
12) Anwar invested Rs. 30000 in SI at the rate of 2x % per annum for 2 years and the same amount is invested in CI at the same rate of interest for 2 years. Find the value of x, if the interest received by him in SI and CI together is Rs. 12300?
A.5
B.4
C.3
D.6
E.None of these
13) If certain sum of money becomes 4 times in four years at compound interest, then in how many years will the amount become 64 times?
A.12 years
B.8 years
C.10 years
D.14 years
E.None of these
14) Mala has Rs.12000. If she invested a certain amount of money on compound interest scheme at the rate of 10% per annum for 2 years and she invested the remaining amount on simple interest scheme at the rate of 12% per annum for 3 years. If she received the total interest from both schemes is Rs.3195, then find the amount invested in compound interest scheme?
A.Rs.6000
B.Rs.6500
C.Rs.7000
D.Rs.7500
E.Rs.8000
15) A person invested ‘P’ in a bank at the rate of 25% per annum compounded annually for 3 years, after 3 years it becomes Rs.15625. If the same principal is invested in SI for 2 years at the same rate of interest, find the interest earned by the person?
A.Rs.6000
B.Rs.3000
C.Rs.4000
D.Rs.2000
E.None of these
16) Renu invested Rs.4500 in a simple interest scheme at the rate of 12% per annum for 5 years and Rahul invested Rs.4500 in a compound interest scheme at the rate of 10% per annum for 2 years. What is the difference between the interest received by Renu and Rahul?
A.Rs.1700
B.Rs.1755
C.Rs.1900
D.Rs.2000
E.Rs.1500
17) A person earned Rs.8400 as simple interest on a sum of Rs. 21000 in 8 years. What would be the compound interest accrued on the same sum at double the rate of interest after three years?
A.Rs.6597
B.Rs.4558
C.Rs.4580
D.Rs.6951
E.None of these
18) Ragu invested Rs.x in a simple interest scheme at the rate of 15% per annum for 2 years and Rani invested Rs.x in a compound interest scheme at the same rate of interest for same time period. If the difference between the interest received by Ragu and Rani is Rs.270, find the value of x?
A.12000
B.15000
C.18000
D.16000
E.None of these
19) A person invested a certain sum at the rate of 15 % SI per annum for two years and received a total amount of Rs. 65000. He invested the same sum at the rate of x % per annum compounded annually for two years and he received the compound interest is Rs. 4500 less that of simple interest, then find the value of ‘x’?
A.10
B.15
C.12
D.20
E.None of these
20) A invested Rs.x at 15% rate of simple interest and the interest earned by A after 3 years is Rs.3240. If he invested the same sum in a compound interest scheme at the rate of 12.5% per annum for 2 years, then what is the compound interest earned by him after 2 years?
A.Rs.1512.5
B.Rs.1612.5
C.Rs.1812.5
D.Rs.1912.5
E.None of these
Try SI and CI Questions For Online Mock Test
Answers :
11) Answer: C
First part = x
Second part = 7000 – x
(x * 12 * 3)/100 = ((7000 – x) * 2 * 10)/100
9x = 7000 * 5 – 5x
14x = 7000 * 5
x = Rs.2500
Interest amount = 2500 * 12 * 3/100 = Rs.900
12) Answer: A
1200x + [30000 * {((100 + 2x) / 100)2 – 1}] = 12300
1200x + [30000 * {((100 + 2x)2 / 10000) – 1}] = 12300
1200x + [30000 * (10000 + 400x + 4x2 – 10000) / 10000] = 12300
1200x + 1200x + 12x2 = 12300
12x2 + 2400x – 12300 = 0
x2 + 200x – 1025 = 0
(x + 205) (x – 5) = 0
x = 5, -205 (Negative value will be eliminated)
x = 5
13) Answer: A
P * (1 + R/100)4 = 4P
(1 + R/100)4 = 4
((1 + R/100)4)3 = 43
P * (1 + R/100)12 = 64P
n = 12 years
14) Answer: D
Amount invested on compound interest scheme = x
Amount invested on simple interest scheme = 12000 – x
CI received by Mala = x * (1 + 10/100)2 – x
= 0.21x
SI received by Mala = [(12000 – x) * 12 * 3]/100 = 9/25 * (12000 – x)
0.21x + 4320 – 0.36x = 3195
x = Rs.7500
15) Answer: C
Amount received by the person after 3 years = Rs.15625
P (1+25/100)3 = 15625
P = 15625 X 4*4*4/5*5*5 = Rs. 8000
If the same principal i.e Rs.8000 is invested in Simple Interest for 2 years,
SI = 8000 X 25 X 2 / 100 = Rs.4000
16) Answer: B
SI received by Renu = 4500 * 12 * 5/100 = 2700
CI received by Rahul = 4500 * (1 + 10/100)2 – 4500 = 945
Difference = 2700 – 945 =1755
17) Answer: D
Rate = 8400 X 100 / 21000 X 8 = 5%
CI = 21000(1+10/100)3 – 21000
CI = 21000(110/100)3 -21000
CI = (21000*1.331) – 21000
CI = 27951 – 21000
CI = 6951
18) Answer: A
270 = x * 15 * 15/100 * 100
x = 12000
19) Answer: A
Let us take the sum be x,
Given,
x + (x*15*2)/100 = 65000
(130/100) * x = 65000
x = 65000 * (100/130) = Rs. 50000
S.I = 65000 – 50000 = Rs. 15000
C.I = 15000 – 4500 = Rs. 10500
Total amount= 10500 + 50000 = Rs. 60500
50000 * (1 + x/100)2 = 60500
(1 + x/100)2 = 605/500
(1 + x/100)2 = (121/100)2
1 + x/100 = 11/10
(100 + x) / 100 = 11/10
100 + x = 110
x = 10
20) Answer: D
SI = P * N * R/100
3240 = 15 * x * 3/100
x = 7200
CI = P * (1 + R/100)n – P
CI = 7200 * (1 + 12.5/100)2 – 7200
= Rs.1912.5
21) Mani invested Rs.x in a simple interest scheme at the rate of 18% per annum for 3 years. After 3 years, he received a total amount of Rs.6930. If Soni invested Rs.(x + 1500) in a compound interest scheme at the rate of 20% per annum for 2 years, then find the interest received by Soni?
A.Rs.2640
B.Rs.2680
C.Rs.2720
D.Rs.2760
E.Rs.2790
22) A man invested Rs. 2500 in SI at R% p.a in scheme A for 8 years and the same man invested Rs. 1200 in SI at (R+2)%p.a in scheme B for 5 years. If the total interest received by the man is Rs. 900, then what is the value of R%?
A.5%
B.1%
C.4%
D.3%
E.2%
23) Kavin borrowed Rs.X at 20% per annum on compound interest and the same amount he lent to his friend at 40% per annum on simple interest. If the extra interest earned is Rs.900 at the end of 2 years, then find the value of X?
A.2500
B.4500
C.3000
D.3500
E.None of these
24) Ram invested Rs.x in simple interest at the rate of 12% per annum for 5 years and Sam invested Rs.(x + 1000) in compound interest at the rate of 10% per annum for two years. If Ram received the interest amount is Rs.1350 more than that of Sam, then find the value of x.
A.4000
B.3000
C.5000
D.6000
E.None of these
25) Sathya invested Rs.x in simple interest scheme A at 15% per annum and also she invested Rs.(5000 – x) in compound interest scheme B at 20% per annum. After 2 years, Sathya received the interest from scheme A and B is Rs.1920. Find the value of x?
A.2000
B.2400
C.2800
D.3200
E.None of these
26) A sum of Rs. 3000 is lent out in two parts. In such a way that the simple interest earned on one part at 10% per annum for 5 years is equal to that on another part at 12.5% per annum for 4 years. Then find the sum invested in 12.5% interest?
A.Rs. 1750
B.Rs. 1500
C.Rs. 2500
D.Rs. 2200
E.Rs. 1200
27) Harini invested Rs.(X+1500) in simple interest at 12% rate of interest per annum for 8 years and Kamalnath invested Rs.X in compound interest at 20% rate of interest per annum for 3 years. If the interest received by Harini is Rs.3064 more than the interest received by Kamalnath, then find the value of X?
A.7000
B.8500
C.6500
D.5500
E.None of these
28) The rate of interest for the first three years is 2% per annum, for the next 5 years is 4% per annum and for beyond 8 years 5% per annum. If a man gets Rs. 2944 at the end of 12 years as simple interest. Then find how much money did he deposit?
A.Rs.4400
B.Rs.8400
C.Rs.6800
D.Rs.6400
E.None of these
29) Vimal invested a certain amount in a compound interest scheme for 3 years and after three years, he received a total amount that is thrice of the invested amount. Vibin invested Rs.6000 in the same scheme at the same rate of interest for 6 years, then find the total amount received by Vibin after 6 years?
A.Rs.48000
B.Rs.54000
C.Rs.36000
D.Rs.45000
E.Cannot be determined
30) The difference between CI and SI on a certain sum of money at 15% per annum for 3 years is Rs.4394.25. Find the simple interest earned at the same rate of interest for 2 years on the same sum.
A.Rs.18400
B.Rs.18500
C.Rs.16800
D.Rs.18600
E.None of these
Try SI and CI Questions For Online Mock Test
Answers :
21) Answer: A
6930 – x = x * 18 * 3/100
1.54x =6930
x = 4500
CI received by Soni = (4500 + 1500) * (1 + 20/100)2 – (4500 + 1500)
= Rs.2640
22) Answer: D
Total interest received,
= (2500 x R x 8)/100 +(1200 x (R + 2) x 5)/100 = (200R+60R+120)
ATQ,
260R + 120 = 900
260R = 900 – 120
R = 3%
23) Answer: A
Let the amount borrowed=X
(X*40*2/100)-(X*120/100*120/100-X)=900
0.8X-1.44X+X=900
0.36X=900
X=900/0.36=2500
24) Answer: A
SI = P * N * R/100
CI = P * (1 + R/100)n – P
SI = x * 12 * 5/100 = 0.6x
CI = (x + 1000) * (1 + 10/100)2 – (x + 1000)
= 21/100 * (x + 1000)
0.6x – 21x/100 – 210 = 1350
60x – 21x – 21000 = 135000
x = Rs.4000
25) Answer: A
(x * 15 * 2/100) + ((5000 – x) * (120/100)2 – (5000 – x)) = 1920
0.3x + 7200 – 1.44x – 5000 + x = 1920
0.14x = 280
x = 2000
26) Answer: B
x* 10 * 5 = (3000-x) * 12.5 * 4
2x = 3000
x = 1500
The sum invested in 12.5% interest = 3000-x =3000-1500 =Rs. 1500
27) Answer: A
(X+1500)*12*8/100-[(X*120/100*120/100*120/100-X]=3064
(96X+144000)/100-1728X/1000+X=3064
0.96X+1440-1.728X+X=3064
0.232X=1624
X=1624/0.232=Rs.7000
28) Answer: D
Let the invested amount be Rs.x
(x*3*2/100) + (x*5*4/100) + (x*4*5/100) = 2944
6x+20x+20x = 294400
46x= 294400
x= Rs.6400
29) Answer: B
3x = x * (1 + R/100)3
3 = (1 + R/100)3
CA received by Vibin = 6000 * (1 + R/100)6
= 6000 * (1 + R/100)3 * (1 + R/100)3
= 6000 * 3 * 3 = 54000
30) Answer: D
Let the invested amount be Rs.P
D = [Pr2 (300+r)] / 1003
4394.25 = P*152 * (300+15) / 1000000
P= Rs.62000
Simple interest = 62000 * 2 * 15/100 = Rs.18600
31) A sum of the money is invested at simple interest and become 5 times itself in 20 years. Find in how many years will it become 15 times itself at the same rate of interest.
A.50 years
B.56 years
C.60 years
D.68 years
E.None of these
32) Rahul invested Rs.3000 in scheme A which is offering simple interest at 12% per annum for two years and he also invested the same sum in scheme B which is offering compound interest at 15% per annum for two years. What is the difference between the interest amounts received by Rahul in both schemes?
A.Rs.247.5
B.Rs.238.5
C.Rs.242.5
D.Rs.236.5
E.None of these
33) Rahul deposited Rs.(x + 2000) in a bank which will offer simple interest at 15% per annum. After 2 years Rahul received the total amount from bank which is Rs.3640 and then invested Rs.5x in scheme A which is offering compound interest at 20% per annum. What is the total amount earned by Rahul from scheme A after 2 years?
A.Rs.5760
B.Rs.4560
C.Rs.3490
D.Rs.6760
E.None of these
34) Divide Rs. 11000 into two parts such that the simple interest received on the first part for 3 years at 5 % rate of interest per annum is equal to the simple interest received on the second part for 2 years at 9 % rate of interest per annum. Find the two parts?
A.Rs. 7000, Rs. 4000
B.Rs. 6000, Rs. 5000
C.Rs. 3000, Rs. 8000
D.Rs. 4000, Rs. 7000
E.Rs. 8000, Rs. 3000
35) Udhay invested Rs.x in simple interest scheme at the rate of 19% per annum for 4 years. After 4 years, he received the interest amount is Rs.(1872 + x/2). If Sai invested Rs.x in a compound interest scheme at the rate of 20% per annum for 2 years, then find the total amount earned by Sai after 2 years?
A.Rs.10468
B.Rs.10568
C.Rs.10668
D.Rs.10368
E.Rs.10268
36) Bala invested Rs.7200 in a simple interest scheme at the rate of R% per annum for 4 years and after 4 years he received the total amount of Rs.11520. If Pugazh invested Rs.8000 in a compound interest scheme at the rate of R% per annum for 2 years, then find the interest received by Pugazh?
A.Rs.2490
B.Rs.2580
C.Rs.2650
D.Rs.2740
E.Rs.2340
37) Shon invested Rs.x in scheme A which offers simple interest at 15% per annum for 4 years. He also invested Rs.(x + 1000) in scheme B which offer compound interest at 10% per annum for 2 years and after 2 years he received the compound interest is Rs.714. How much amount of interest received by Shon in scheme A?
A.Rs.1280
B.Rs.1370
C.Rs.1440
D.Rs.1320
E.None of these
38) Ramesh invested Rs.4500 in a simple interest scheme at the rate of x% per annum for 4 years. Ram invested Rs.(y + 3200) in a simple interest scheme at the rate of (x/2)% per annum for 4 years. If the interest received by Ramesh is 80% more than that of Ram, then find the value of y?
A.3000
B.2200
C.2000
D.2400
E.None of these
39) The difference between the interest obtained by A in S.I and B in C.I when investing the same amount at the same interest for 2 years is Rs.1280. If the amount invested by A and B is Rs.8000, find the interest obtained by A.
A.Rs.4800
B.Rs.7200
C.Rs.6400
D.Rs.8000
E.None of these
40) A sum of Rs.8000 is invested in a compound interest scheme at the rate of R% per annum for 2 years. After two years, total amount received from the scheme is Rs.10580. If the amount Rs.6400 is invested in a simple interest scheme at the rate of (R + 5)% per annum for 3 years, then find the simple interest received from the scheme?
A.Rs.3820
B.Rs.3840
C.Rs.3860
D.Rs.3880
E.Rs.3920
Try SI and CI Questions For Online Mock Test
Answers :
31) Answer: E
SI=P * N * R/100
5P – P=P * 20 * R/100
R=20%
15P – P=P * N * 20/100
N=70 years
32) Answer: A
Interest amount received from Scheme A =P * N * R/100 = 3000 * 12 * 2/100=720
Interest amount received from Scheme B =P * (1 + R/100)n =3000 * (1 + 15/100)2 – 3000
=Rs. 967.5
Difference=967.5 – 720=Rs.247.5
33) Answer: A
SI=P * N * R/100
SI=3640 – x – 2000=1640 – x
1640 – x=(x + 2000) * 15 * 2/100
164000 – 100x = 30x + 60000
130x=104000
x=Rs. 800
CA=P * (1 + R/100)n
CA=(5 * 800) * (1 + 20/100)2
=Rs. 5760
34) Answer: B
Let two parts be x and 11000 – x
(x*3*5)/100 = [(11000 – x)*9*2]/100
15x = 198000 – 18x
33x = 198000
x = 198000/33 = 6000
Two parts are Rs. 6000 and Rs. 5000
35) Answer: D
(1872 + x/2) = x * 19 * 4/100
46800 + 12.5x = 19x
x = 7200
CA received by Sai = 7200 * (1 + 20/100)2
= Rs.10368
36) Answer: B
11520 – 7200 = 7200 * R * 4/100
R = 15%
CI received by Pugazh = 8000 * (1 + 15/100)2 – 8000
= Rs.2580
37) Answer: C
CI=P * (1 + R/100)n – P
714=(x + 1000) * (1 + 10/100)2 – (x + 1000)
714=(x + 1000) * (21/100)
3400=x + 1000
x=2400
SI=P * N * R/100
=2400 * 15 * 4/100
=Rs.1440
38) Answer: E
SI received by Ramesh = 4500 * x * 4/100 = 180x
SI received by Ram = (y + 3200) * (x/2) * 4/100 = x(y + 3200)/50
(180x * 50)/(x * (y + 3200)) = 180/100
5000 = y + 3200
y = Rs.1800
39) Answer: C
Difference = P(R/100)2
1280 = 8000 * (R/100)2
R2 = 320 * 5
R = 40%
Interest obtained by A = 8000 * 40 * 2/100 = Rs.6400
40) Answer: B
10580 = 8000 * (1 + R/100)2
10580/8000 = (1 + R/100)2
46/40 = (100 + R/100)
R = 115 – 100 = 15%
SI = 6400 * (15 + 5) * 3/100 = Rs.3840
41) Udhay invests Rs.x in a simple interest scheme at the rate of 19% per annum for 4 years. After 4 years, he received the interest is Rs.(1872 + x/2). If Sai invests Rs.x in a compound interest scheme at the rate of 20% per annum for 2 years, then find the total amount earned by Sai after 2 years?
A.Rs.10468
B.Rs.10568
C.Rs.10668
D.Rs.10368
E.Rs.10268
42) Bala invests Rs.7200 in a simple interest scheme at the rate of R% per annum for 4 years and after 4 years, he received the total amount of Rs.11520. If Pugazh invests Rs.8000 in a compound interest scheme at the rate of R% per annum for 2 years, then find the interest received by Pugazh?
A.Rs.2490
B.Rs.2580
C.Rs.2650
D.Rs.2740
E.Rs.2340
43) Shon invested Rs.x in scheme A which offers simple interest at 15% per annum for 4 years. He also invests Rs.(x + 1000) in scheme B which offer compound interest at 10% per annum for 2 years and after 2 years he received the compound interest is Rs.714. How much amount of interest received by Shon in scheme A?
A.Rs.1280
B.Rs.1370
C.Rs.1440
D.Rs.1320
E.None of these
44) Ramesh invests Rs.4500 in a simple interest scheme at the rate of x% per annum for 4 years. Ram invests Rs.(y + 3200) in a simple interest scheme at the rate of (x/2)% per annum for 4 years. If the interest received by Ramesh is 80% more than that of Ram, then find the value of y?
A.3000
B.2200
C.2000
D.2400
E.None of these
45) The difference between the interest obtained by A in S.I and B in C.I when investing the same amount at the same interest rate for 2 years is Rs.1280. If the amount invested by A and B is Rs.8000, find the interest obtained by A.
A.Rs.4800
B.Rs.7200
C.Rs.6400
D.Rs.8000
E.None of these
46) A sum of Rs.8000 is invested in a compound interest scheme at the rate of R% per annum for 2 years. After two years, total amount received from the scheme is Rs.10580. If the amount Rs.6400 is invested in a simple interest scheme at the rate of (R + 5)% per annum for 3 years, then find the simple interest received from the scheme?
A.Rs.3820
B.Rs.3840
C.Rs.3860
D.Rs.3880
E.Rs.3920
47) The difference between the simple and compound interest on a certain sum for 2 years at x% per annum is Rs.324 and the sum invested is Rs.14400 and then find the value of x%?
A.12%
B.18%
C.21%
D.15%
E.None of these
48) Grace invested a certain amount in compound interest at 20% compounded half yearly for one year. If the compound interest obtained by Grace is Rs.840, then find the total amount invested by Grace?
A.Rs.2000
B.Rs.5000
C.Rs.3000
D.Rs.4000
E.None of these
49) Soniya invested Rs.6500 in simple interest at 40% per annum for n years. After n years, the interest obtained by Soniya is five times more than the amount invested. Find the value of n?
A.15
B.10
C.8
D.12
E.None of these
50) Bharat invested Rs.15000 for 2 years at R% per annum simple interest. Sindhu invested the same amount as invested by Bharat for 2 years at R% per annum compound interest. What is the amount received by Sindhu, if the difference between the interest earned by Bharat and Sindhu is Rs.600?
A.Rs.24500
B.Rs.21600
C.Rs.22500
D.Rs.25000
E.None of these
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Answers :
41) Answer: D
(1872 + x/2) = x * 19 * 4/100
46800 + 12.5x = 19x
x = 7200
CA received by Sai = 7200 * (1 + 20/100)2
= Rs.10368
42) Answer: B
11520 – 7200 = 7200 * R * 4/100
R = 15%
CI received by Pugazh = 8000 * (1 + 15/100)2 – 8000
= Rs.2580
43) Answer: C
CI=P * (1 + R/100)n – P
714=(x + 1000) * (1 + 10/100)2 – (x + 1000)
714=(x + 1000) * (21/100)
3400=x + 1000
x=2400
SI=P * N * R/100
=2400 * 15 * 4/100
=Rs.1440
44) Answer: E
SI received by Ramesh = 4500 * x * 4/100 = 180x
SI received by Ram = (y + 3200) * (x/2) * 4/100 = x(y + 3200)/50
(180x * 50)/(x * (y + 3200)) = 180/100
5000 = y + 3200
y = Rs.1800
45) Answer: C
Difference = P(R/100)2
1280 = 8000 * (R/100)2
R2 = 320 * 5
R = 40%
Interest obtained by A = 8000 * 40 * 2/100 = Rs.6400
46) Answer: B
10580 = 8000 * (1 + R/100)2
10580/8000 = (1 + R/100)2
46/40 = (100 + R/100)
R = 115 – 100 = 15%
SI = 6400 * (15 + 5) * 3/100 = Rs.3840
47) Answer: D
324= (14400*r2)/1002
324*1002/14400=r2
r2=225
r=15%
48) Answer: D
Let the total amount invested by Grace = a
The rate of interest (half yearly) = 20%/2 = 10%
a* (1 + 10/100)2 – a = 840
a * (121/100 – 1) = 840
a = 840 * 100/21
a = 4000
49) Answer: A
The amount invested by Soniya = Rs.6500
6500 * 40 * n/100 = 6 * 6500
n = 15
50) Answer: B
PR2/1002 = Difference of interest
=> 15000 * R2/1002 = 600
=> R = 20%
Amount received by Sindhu = 15000 * (1 + 20/100)2 = Rs.21600
This post was last modified on March 18, 2024 10:23 am