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1) Gifty and Lifty started a business with the investment of Rs.5000 and Rs.6000 respectively. After 8 months, Gifty withdrew Rs.2000. At the end of year, they earned the total profit of Rs.9300. What is the sum of the three-fourth of the profit of Gifty and one-fourth of the profit of Lifty?
A.Rs.4275
B.Rs.4280
C.Rs.4355
D.Rs.4365
E.None of these
2) Yashni and Yuvi started a business with the investment of Rs.3000 and Rs.3200 respectively. After 5 months, Yashika joined with the investment of Rs.2800. At the end of 15 months, Yashni left from the business, then what is the profit ratio of Yashni, Yuvi and Yashika after 20 months?
A.45:64:42
B.42:63:41
C.42:64:45
D.45:60:44
E.45:60:40
3) Vishnu and Anu started the business with the investment of Rs.(x + 500) and Rs.(x – 1000) respectively. After 1 year, Vishnu withdrew Rs.1500 and Anu withdrew Rs.500. At the end of two years, the total profit of the business is Rs.20800 and the profit of Vishnu is Rs.12000. Find the value of x?
A.3200
B.3600
C.4000
D.4500
E.5000
4) Arjun invested Rs.500 while Badri invested Rs.800 in a partnership business. After 1 year, Arjun withdrew Rs.200 while Badri withdrew Rs.300 and Keshav joined them with a capital of Rs.600. Find the profit share of Keshav, if the total profit received by all of them after 3 years is Rs.2050.
A.Rs.250
B.Rs.300
C.Rs.450
D.Rs.600
E.None of these
5) Rani and Vani started a business with the investment of Rs.4800 and Rs.3200 respectively. After 9 months, Rani withdrew one-fourth of her initial investment and Vani withdrew 25% of her initial investment. At the end of 2 years, the total profit of the business is Rs.12000, then find the profit of Rani?         Â
A.Rs.7000
B.Rs.7200
C.Rs.7500
D.Rs.7800
E.Rs.8100
6) Nisha, Manisha and Oviya started a business with the investment is in the ratio of 1/3:4/5:5/6 respectively. After 6 months, Manisha left the business. At the end of one year, the total profit of the business is Rs.14100, find the profit of Nisha?
A.Rs.2700
B.Rs.2800
C.Rs.2400
D.Rs.3000
E.Rs.3200
7) A and B started a business with the investment of Rs.4200 and Rs.4800 respectively. After 3 years, C joined the business with the investment of Rs.4000. At the end of 12 years, the total profit of the business is Rs.7200. Find the profit of B?
A.Rs.2400
B.Rs.2600
C.Rs.2880
D.Rs.3000
E.Rs.3200
8) A and B started a business with the investment is in the ratio of 4: 5 and after 4 months, A withdrew 50% of his initial investment. If at the end of one year, the total profit is Rs.2300, then find the profit share of B.
A.Rs.1200
B.Rs.1500
C.Rs.1800
D.Rs.1000
E.None of these
9) A, B and C started a business with the investment of Rs.4000, Rs.5000 and Rs.3000 respectively. After 3 months, A withdrew 25% of his initial investment. At the end of one year, the total profit is Rs.9000, what is the profit share of C?
A.Rs.1200
B.Rs.2400
C.Rs.3600
D.Rs.1800
E.None of these
10) The ratio of investment of A and B and B and C is 3: 4 and 5: 6 respectively. They invested their investment for 7, 8 and 4 months respectively. If the profit share of A at the end of the year is 525, then find the total profit?
A.1705
B.1605
C.1508
D.1805
E.None of these
Answers :
1) Answer: A
Ratio of the profit share of Gifty and Lifty = (5000 * 8 + 3000 * 4):6000 * 12
= 52000:72000
= 13:18
Profit share of Gifty = 13/31 * 9300 = Rs.3900
Profit share of Lifty = 18/31 * 9300 = Rs.5400
Required sum = 3/4 * 3900 + 1/4 * 5400= Rs.4275
2) Answer: A
Required ratio = 3000 * 15:3200 * 20:2800* 15
= 45:64:42
3) Answer: C
Profit share of Vishnu and Anu = ((x + 500) * 1 + (x + 500 – 1500) * 1):((x – 1000) * 1 + (x – 1000 – 500) * 1)
= (2x – 500):(2x – 2500)
(2x – 500)/(4x – 3000) = 12000/20800
120x – 90000 = 104x – 26000
x = 4000
4) Answer: D
Profit ratio of Arjun, Badri and Keshav = (500 * 1 + 300 * 2): (800 * 1 + 500 * 2): (600 * 2)
= 11: 18: 12
Profit share of Keshav = 2050 * 12/41 = Rs.600
5) Answer: B
Profit ratio of Rani and Vani = (4800 * 9 + 4800 * 3/4 * 15):(3200 * 9 + 3200 * 75/100 * 15)
= 97200:64800
= 3:2
Profit share of Rani = 3/5 * 12000 = 7200
6) Answer: D
Profit ratio of Nisha, Manisha and Oviya = 1/3 * 12:4/5 * 6:5/6 * 12
= 4:24/5:10
= 20:24:50
= 10:12:25
Profit share of Nisha = 10/47 * 14100
= 3000
7) Answer: C
Profit ratio of A, B and C = 4200 * 12:4800 * 12:4000 * 9
= 42*4:48*4:40*3
= 7:8:5
Profit share of B = 8/20 * 7200
= 2880
8) Answer: B
Profit ratio of A and B = (4x * 4 + 2x * 8): (5x * 12)
= 32: 60
= 8: 15
B’s share = 15/23 * 2300 = Rs.1500
9) Answer: B
Profit ratio = (4000 * 3 + 3000 * 9): (5000 * 12): (3000 * 12)
= 39: 60: 36
=13: 20: 12
C’s profit share = 12/45 * 9000 = 2400
10) Answer: D
Investment ratio = 15: 20: 24
Profit ratio = (15 * 7): (20 * 8): (24 * 4)
= 105: 160: 96
Total profit = (525/105) * 361 = 1805
Start Quiz
11) A and B started the business with the investment of Rs.(x + 2000) and Rs.(2x + 8000) respectively. At the end of the year, the total profit is Rs.22000 and the profit share of B is Rs.16500, then find the value of x?
A.1800
B.2000
C.2200
D.2500
E.None of these
12) A and B started the business with the investment of Rs.5000 and Rs.9000 respectively. After 5 months, A added Rs.1000 and B withdrew Rs.1000 for his initial investment. At the end of the year, the total profit of the business is Rs.8400, then what is the difference between the profit share of A and B?
A.Rs.1700
B.Rs.1500
C.Rs.1200
D.Rs.2000
E.None of these
13) A, B and C started the business with the investment is in the ratio of 3: 8: 1. Ratio of the investment period of A, B and C is 1: 2: 3. If A’s profit share at the end of business is Rs.1800, then find the total profit of the business?
A.Rs.14300
B.Rs.13200
C.Rs.12100
D.Rs.15400
E.None of these
14) A started the business with the investment of Rs.4500. After 4 months, B and C joined with the investment of Rs.5000 and Rs.4800 respectively. At the end of the year, the total profit of the business is Rs.16550, then find the profit share of C?
A.Rs.5000
B.Rs.3200
C.Rs.4800
D.Rs.3600
E.None of these
15) A, B and C started the business with the investment of Rs.1000, Rs.1500 and Rs.1200 respectively. After 4 months, A added Rs.200 and B withdrew Rs.400. After 4 more months, C withdrew Rs.100. At the end of year the total profit is Rs.5300, find the profit share of C?
A.Rs.1450
B.Rs.1550
C.Rs.1650
D.Rs.1750
E.None of these
16) A started the business with the investment of Rs.4500 and after 4 months B joined with the business. At the end of the year the total profit is Rs.17000 and A’s profit share is Rs.9000, what is B’s investment?
A.Rs.4000
B.Rs.5000
C.Rs.6000
D.Rs.8000
E.None of these
17) A and B started the business with the investment of Rs.4000 and Rs.6000 respectively. After 6 months B left and C joined with the investment of Rs.4500 and at the end of year the total profit of business is Rs.18500. What is the profit share of C?
A.Rs.9000
B.Rs.7200
C.Rs.6300
D.Rs.5400
E.Rs.4500
18) P started a business with a capital of Rs.80000. 1 year later, Q joined him with a capital of Rs.10000. At the end of 3 years from the start of business, the total profit earned was Rs.39000. The share of P in the profit exceeded the share of Q by:
A.Rs.30000
B.Rs.32000
C.Rs.33000
D.Rs.36000
E.None of these
19) Remo and Saran invested the same capital in a business. At the year end, they share the profit in the ratio of 3: 4. If Remo has invested his capital for the whole year, for how many months Saran has invested his capital?
A.4 months
B.8 months
C.12 months
D.16 months
E.None of these
20) P, Q and R invested capital is in the ratio of 4: 5: 6. At the end of the business term, they received the profits in the ratio 7: 4: 6. Find the ratio of time for which they contributed their capital.
A.35: 16: 20
B.16: 35: 20
C.20: 35: 16
D.20: 16: 35
E.None of these
Answers :
11) Answer: B
(x + 2000)/(2x + 8000) = 5500/16500
2x + 8000 = 3x + 6000
x = 2000
12) Answer: A
Profit ratio of A and B = (5000 * 5 + 6000 * 7):(9000 * 5 + 8000 * 7)
= 67000:101000
=67:101
Required Difference = (101 – 67)/168 * 8400
= Rs.1700
13) Answer: B
Profit ratio of A, B and C = (3 * 1): (8 * 2): (1 * 3)
= 3: 16: 3
Total profit share = 22/3 * 1800 = Rs.13200
14) Answer: C
Profit ratio of A, B and C = (4500 * 12): (5000 * 8): (4800 * 8)
= 135: 100: 96
C’s profit share = (96/331) * 16550
= Rs.4800
15) Answer: D
Profit ratio of A, B and C
= (1000 * 4 + 1200 * 8): (1500 * 4 + 1100 * 8): (1200 * 8 + 1100 * 4)
= 13600: 14800: 14000
= 34: 37: 35
C’s profit share = 35/106 * 5300 = Rs.1750
16) Answer: C
Profit ratio of A and B = (4500 * 12): (x * 8)
= 6750: x
6750/(x + 6750) = 9000/17000
9x + 6750 * 9 = 17 * 6750
9x = 54000
x = 6000
17) Answer: E
Profit ratio of A, B and C = 4000 * 12:6000 * 6:4500 * 6
= 16:12:9
C’s profit share = 9/37 * 18500 = Rs.4500
18) Answer: C
Capital ratio of P and Q = 80000 * 36 : 10000 * 24 = 12: 1
Profit gained by P = 12/13 * 39000 = Rs.36000
Profit gained by Q = 1/13 * 39000 = Rs.3000
Required difference = 36000 – 3000 = Rs.33000
19) Answer: D
Remo’s profit/ Saran’s profit = 3/4
=> 3/4= 12/x
=> x = 16 months
20) Answer: A
If investments are in the ratio a: b: c and profits in the ratio p: q: r, then the ratio of time is p/a : q/b: r/c.
Ratio of time = 7/4 : 4/5 : 6/6
= 35: 16: 20
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