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Caselet
Directions (1 – 5): Study the following information carefully and answer the given questions?
Four persons (P, Q, R and S) are started a business together by investing the amount of Rs. 20000, Rs. 30000, Rs. 50000 and Rs. 60000 respectively. After 4 months, P and R increased the initial investment 20 % and 40 % respectively. At the end of the year, they earned a total profit of Rs. 171600.
The person A and B borrows P and R’s share. They are giving 8 % simple interest for 4 years.
The person C borrows Q’s total amount (ie., Initial investment + Share) for 2 years at the rate of 6 % compound interest.
1) Find the interest amount, the person A have to paid for the person Q?
a) Rs. 7548
b) Rs. 7072
c) Rs. 8156
d) Rs. 6960
e) None of these
2) The profit of person Q is approximately what percentage of the total amount (Initial investment + Profit), the person S received at the end of the year of business?
a) 10 %
b) 55 %
c) 5 %
d) 25 %
e) 40 %
3) Find the sum of the total amount, person A and B have to pay for the person P and R?
a) Rs. 110682
b) Rs. 95626
c) Rs. 88978
d) Rs. 105670
e) None of these
4) Find the compound interest, person C has to pay for the person Q?
a) Rs. 7152.70
b) Rs. 6976.50
c) Rs. 7323.30
d) Rs. 7897.60
e) None of these
5) Find the average share of P and S together at the end of the year of business?
a) Rs. 42500
b) Rs. 48600
c) Rs. 39400
d) Rs. 40300
e) None of these
Simplification
Direction (6 – 10): What value should come in place of question mark in the following questions?
6) 35 % of 240 + 80 % of 45 + √4225 * 4 = ?
a) 320
b) 360
c) 380
d) 400
e) 420
7) 125 % of 140 – 493 ÷ √289 + ? = 18 * 12
a) 80
b) 70
c) 60
d) 40
e) 50
8) (882 ÷ 21) + 15 * 14 = ? + (245 ÷ 35) – 12
a) 248
b) 239
c) 257
d) 229
e) 281
9) (5 / 9) * 351 + 60 % of 150 + 45 * 8 = ? * 15
a) 43
b) 47
c) 41
d) 44
e) 49
10) 12.5 % of 344 + 75 % of 228 + ? % of 18 = 520
a) 1700
b) 1500
c) 1400
d) 1300
e) 1100
Answers :
Directions (1 – 5):
The share of P, Q, R and S,
= > [20000 * 4 + 20000 * (120/100) * 8] : [30000 * 12] : [50000 * 4 + 50000 * (140/100) * 8] : [60000 * 12]
= > 272000 : 360000 : 760000 : 720000
= > 34 : 45 : 95 : 90
Total profit = 264’s = Rs. 171600
1’s = 650
The share of P = Rs. 22100
The share of Q = Rs. 29250
The share of R = Rs. 61750
The share of S = Rs. 58500
1) Answer: B
The person A borrows Rs. 22100 from the person P. So, the principle amount will be Rs. 22100.
SI = PNR/100
SI = (22100 * 4 * 8)/100 = Rs. 7072
2) Answer: D
The profit of person Q = Rs. 29250
The total amount (Initial investment + Profit), the person S received at the end of the year of business
= > 60000 + 58500 = Rs. 118500
Required % = (29250 / 118500) * 100 = 24.68 % = 25 %
3) Answer: A
The person A borrows Rs. 22100 from the person P. So, the principle amount will be Rs. 22100.
SI for person A = PNR/100
= > (22100 * 4 * 8) / 100 = Rs. 7072
Total amount, the person P has received = 22100 + 7072 = Rs. 29172
The person B borrows Rs. 61750 from the person R. So, the principle amount will be Rs. 61750.
SI for person B = (61750 * 4 * 8)/100 = Rs. 19760
Total amount, the person R has received = 61750 + 19760 = Rs. 81510
Required sum = 29172 + 81510 = Rs. 110682
4) Answer: C
The person C borrows Rs. 59250 from person Q. So, the principle amount will be Rs. 59250.
Total amount = 59250 * (106/100) * (106/100) = Rs. 66573.30
CI = 66573.30 – 59250 = Rs. 7323.30
5) Answer: D
The average share of P and S together at the end of the year of business
= > (22100 + 58500) / 2
= > 80600 / 2 = Rs. 40300
Directions (6-10) :
6) Answer: C
35 % of 240 + 80 % of 45 + √4225 * 4 = ?
84 + 36 + 260 = ?
? = 380
7) Answer: B
125 % of 140 – 493 ÷ √289 + ? = 18 * 12
175 – 29 + ? =216
? = 70
8) Answer: C
(882 ÷ 21) + 15 * 14 = ? + (245 ÷ 35) – 12
42 + 210 = ? + 7 – 12
? = 257
9) Answer: A
(5 / 9) * 351 + 60 % of 150 + 45 * 8 = ? * 15
195 + 90 + 360 = ? * 15
? = 43
10) Answer: A
12.5 % of 344 + 75 % of 228 + ? % of 18 = 520
43 + 171 + ? % of 18 = 520
? = 1700
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