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1) Rahul, Renu and Rajesh started a business with the investment of Rs.9000, Rs.12000 and Rs.6000 respectively. After 9 months, Rahul added Rs.6000 and Renu added Rs._______ to her initial investment. At the end of the year, the profit share of Rajesh is Rs.1600 and the difference between the profit share of Renu and Rahul is Rs._______.
A)6000, Rs.800
B)4000, Rs.500
C)3000, Rs.600
D)12000, 1200
A.All A, B, C and D
B.Only A
C.Only A, B and C
D.Only A and C
E.Only A, C and D
2) P, Q and R started a business by investing an amount of Rs. 45000, Rs. 60000 and Rs. 70000 respectively. After 3 months, P withdraws 40 % of his initial investment and R invested 20 % more of his initial investment. And after another 3 months, Q withdraws 30 % of his initial investment. Find the total profit at the end of the year, if the share of Q is Rs. 61200?
A.Rs. 167000
B.Rs. 184200
C.Rs. 195600
D.Rs. 175600
E.None of these
3) A, B and C entered into a business plan with their investments in the ratio 4: 6: 9 respectively. After 2 months, A withdraws his whole amount, B withdraws 1/4thof his amount and C doubles his amount. After another 4 months, C withdraws 4/9th of his amount, B doubles from his initial investment and A re-enters into business with an amount equal to his initial amount. Find the ratio of profit of A, B, and C.
A.15:51:65
B.16:49:75
C.16:51:65
D.16:51:75
E.18:58:75
4) If A, B and C started the business with the investment of Rs.4000, Rs.6000 and Rs.8000 respectively and after x months, D joined with the investment of Rs.y. The profit share of A and D is same, then find the value of y?
A)6000
B)4000
C)3000
D)8000
A.All A, B, C and D
B.Only B and C
C.Only C
D.Only B, C and D
E.Only A and D
5) P and Q started a business by investing Rs. 120000 and Rs. 100000 respectively. After some period, R joined with them and R invested Rs. 30000 more than the initial investment of P. Find the period of time R invested the amount, if the share of P is Rs. 156000 out of total profit at the end of the year of Rs. 383500?
A.9 months
B.8 months
C.7 months
D.6 months
E.None of these
6) A, B and C started the business with the investment of Rs.x, Rs.8000 and Rs.(x + 3000) respectively and after 3 months, D joined with the investment of Rs.6000. After 3 more months, A and C added Rs.4000 and Rs.2000 respectively with their initial investments and after 2 more months B withdrew Rs.2000 from his initial investment. If at the end of 12 months, the total profit is Rs.26200 and the difference between the profit share of B and D is Rs.3400, find the value of x.
A.Rs.2000
B.Rs.2400
C.Rs.2800
D.Rs.3000
E.None of these
7) A and B started the business with the investment in the ratio of 3: 4 and after 4 months, C joined with the investment of Rs.4500. After 4 more months, D joined the business with the investment of half of B’s initial investment and C withdrew 60% of his initial investment. At the end of one year, the total profit is Rs.14650 and B’s profit is Rs.6000, then find the difference between the initial investment of A and D?
A.Rs.500
B.Rs.1000
C.Rs.1500
D.Rs.2000
E.None of these
8) Tinu, Rinu and Minu started the business with the investment of Rs.5000, Rs.8000 and Rs.6000 respectively. At the end of the business the total profit is Rs.4500. If Tinu’s profit share is Rs.500 more than the Minu’s profit share and Rinu’s profit share is Rs.1000 more that of Minu, then what is the ratio of the investment period of Tinu, Rinu and Minu?
A.18: 15: 10
B.12: 11: 9
C.17: 13: 8
D.Cannot be determined
E.None of these
9) A and B started the business with an investment of Rs.4000 and Rs.2250 respectively and after 2 months, C joined with the investment of 75% of A’s initial investment. After 4 more months B withdrew Rs.750 for his initial investment and A added 25% of his initial investment. If the profit ratio of A, B and C is 36:15:20, then what is the investment period ratio of A, B and C?
A.4:3:2
B.3:3:2
C.5:4:3
D.6:6:5
E.None of these
10) A, B and C started a business. B invested twice as A. C invested 2000 more than that of B. After 6 months, A invested 1000 rupees more, B withdrew 1000 from his investment and C invested 2000 more. After 4 more months, B further withdrew 1000 and C withdrew 2000. If A gets Rs. 5000 in the annual profit, what will be the total profit?
A.15000
B.25000
C.20000
D.30000
E.28000
Answers :
1) Answer: E
Profit ratio of Rahul, Renu and Rajesh
= (9000 * 9 + 15000 * 3): (12000 * 9 + (12000 + x ) * 3): (6000 * 12)
= 126000: (144000 + 3x): 72000
From option (A)
126000: (144000 + 18000): 72000 = 126: 162: 72
= 7: 9: 4
Difference profit share of Renu and Rahul = 2/4 * 1600 = 800
This satisfies the given condition.
From option (B)
126000: (144000 + 12000): 72000 = 126: 156: 72
= 21: 26: 12
Difference profit share of Renu and Rahul = 5/12 * 1600 = Rs.666
This doesn’t satisfy the given condition.
From option (C)
126000: (144000 + 9000): 72000 = 126: 153: 72
=14:17:8
Difference profit share of Renu and Rahul =3/8 * 1600 = Rs.600
This satisfies the given condition.
From option (D)
126000: (144000 + 36000): 72000 = 126: 180: 72
= 14: 20: 8
= 7: 10: 4
Difference profit share of Renu and Rahul = ¾ * 1600 = 1200
This satisfies the given condition.
2) Answer: C
The ratio of share of P, Q and R
= > [45000*3 + 45000*(60/100)*9]: [60000*6 + 60000*(70/100)*6]: [70000*3 + 70000*(120/100)*9]
= > 378000: 612000: 966000
= > 63: 102: 161
The share of Q = Rs. 61200
102’s = 61200
1’s = 600
Total profit = 326’s = Rs. 195600
3) Answer: D
Ratio of profits = Ratio of amount*time
Let, initial amounts of A, B and C be 4x, 6x and 9x
Profit ratio = (4x*2 + 4x*6): (6x*2 + 4.5*4 + 12x*6): (9x*2 + 18x*4 + 10x*6)
= (8x + 24x): (12x + 18x + 72x): (18x +72x + 60x) = (32x): (102x): (150x) = 16:51:75
4) Answer: E
Profit ratio of A, B, C and D
= (4000 * 12): (6000 * 12): (8000 * 12): [(12 – x) * y]
(12 – x) * y = 4000 * 12
(12 – x ) * y = 48000
Possible months of the investment of D is 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1
48000/y = 12 – x
From (A)
48000/6000 = 12 – x
x = 4 months
This satisfied the given condition.
From (B)
48000/4000 = 12 – x
12 = 12 – x
X = 0
This is not satisfied the given condition.
From (C)
48000/3000 = 12 – x
16 = 12 – x
x = -4
This is not satisfied the given condition.
From (D)
48000/8000 = 12 – x
6 = 12 – x
x = 6
This satisfied the given condition.
5) Answer: D
The share of P, Q and R,
= > 120000 * 12 : 100000 * 12 : 150000 * x
= > 48 : 40 : 5x
Given,
(48 / (40 + 5x)) = (156000 / 227500)
910 = 520 + 65x
390 = 65x
x = 6
The period of time R invested the amount was 6 months.
6) Answer: A
Profit ratio of A, B, C and D = (x * 6 + (x + 4000) * 6):(8000 * 8 + 6000 * 4):((x + 3000) * 6 + (x + 5000) * 6) :(6000 * 9)
= (12x + 24000):88000:(12x + 48000):54000
According to the question,
34000/(24x + 214000) = 3400/26200
262000 = 24x + 214000
48000 = 24x
x =Rs. 2000
7) Answer: B
Profit ratio of A, B, C and D = 3x * 12:4x * 12:(4500 * 4 + 1800 * 4):2x * 4
= 36x:48x:25200:8x
= 9x:12x:6300:2x
12x/(23x + 6300) = 6000/14650
230x + 63000 = 293x
63x = 63000
x = 1000
A = 3 * 1000 = 3000
D = 4 * 1000/2 = 2000
Difference = 1000
8) Answer: A
Total profit = Rs.4500
Tinu – Minu = 500 ——– (1)
Rinu – Minu = 1000 —— (2)
Tinu + Minu + Rinu = 4500 —— (3)
500 + Minu + Minu + 1000 + Minu = 4500
3Minu = 3000
Minu = Rs.1000
Tinu = 1000 + 500 = Rs.1500
Rinu = 1000 + 1000 = Rs.2000
Required ratio = 1500/5000: 2000/8000: 1000/6000
= 3/10: 1/4: 1/6
= 18: 15: 10
9) Answer: D
Investment of A, B and C = (4000 * 6 + (5000 * (x – 6))):(2250 * 6 + (x – 6) * 1500):(3000 * (x – 2))
=(5000x – 6000):(1500x + 4500):(3000x – 6000)
(5000x – 6000)/(1500x + 4500) = 36/15
18000x + 54000 = 25000x – 30000
7000x = 84000
x = 12
Required ratio = 12:12:10 = 6:6:5
10) Answer: B
Let x be the amount invested by A.
Amount invested by B = 2x
Amount invested by C = 2x + 2000
A’s share = x*6 + (x+1000)*6 = 12x + 6000 = 12(x + 500)
B’s share = 2x*6 + (2x – 1000)*4 + (2x – 2000)*2
             = 12x + 8x – 4000 + 4x – 4000 = 24x -8000
C’s share = (2x + 2000)*6 + (2x+4000)*4 + (2x + 2000)*2 = 12x + 12000 + 8x + 16000 + 4x + 4000 = 24x + 32000
Total share = 12x + 6000 + 24x – 8000 + 24x + 32000 = 60x + 30000 = 60(x + 500)
Given A’s profit = 5000
12*(x + 500)/60*(x+500) = 5000/Total
Total = 25000
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