Question : A, B and C started a business with their capitals in the ratio 4 : 2 : 9. At the end of every quarter, A halves his capital, whereas B doubles his capital and C leaves his capital unchanged. If at the end of a year, A's profit was Rs. 24,000, then what is the total profit?
Option 1: Rs. 2,30,400
Option 2: Rs. 2,25,600
Option 3: Rs. 2,16,000
Option 4: Rs. 2,35,200
Correct Answer: Rs. 2,35,200
Solution : The initial capitals of A, B, and C are in the ratio 4 : 2 : 9. Let their initial capitals as 4k, 2k, and 9k respectively. In a year, there are 4 quarters. At the end of every quarter, A halves his capital, B doubles his capital, and C leaves his capital unchanged. So, the total capital invested by A, B, and C in a year would be: A: 4k + 2k + k + 0.5k = 7.5k B: 2k + 4k + 8k + 16k = 30k C: 9k + 9k + 9k + 9k = 36k The profit is divided by the ratio of their investments. So, if A's profit is Rs. 24,000, then the total profit P can be calculated as: ⇒ P = $\frac{24000 }{ 7.5k}$ × (7.5k + 30k + 36k) ⇒ P = $\frac{24000 }{ 7.5k}$ × 73.5k ⇒ P = 1600 × 147 ⇒ P = 2,35,200 Hence, the correct answer is Rs. 2,35,200.
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Question : A, B, and C started a business with their capitals in the ratio 1 : 4 : 4. At the end of every 3 months, A doubles his capital, B halves his capital and C leaves his capital unchanged. At the end of the year, if B's share in the profit was INR 4,50,000, then the total profit (in INR lakhs) was ______.
Option 1: 32.4
Option 2: 24.2
Option 3: 34.8
Option 4: 23.1
Question : Anil started a business with an investment of Rs. 25,000. After 3 months, Vishal joined his business with a capital of Rs.30,000. At the end of the year, they have made a profit of Rs. 19,000. What will be Anil's share of the profit?
Option 1: Rs. 10,000
Option 2: Rs. 12,500
Option 3: Rs. 10,250
Option 4: Rs. 14,000
Question : A, B, and C enter into a partnership by investing their capitals in the ratio of $\frac{2}{5}: \frac{3}{4}: \frac{5}{8}$. After 4 months, A increased his capital by 50%, but B decreased his capital by 20%. What is the share of B in the total profit of INR 2,82,100 at the end of the year?
Option 1: INR 83,200
Option 2: INR 97,500
Option 3: INR 1,01,400
Option 4: INR 1,00,750
Question : A, B and C started a business. A invested $33 \frac{1}{3}$% of the total capital, B invest $33 \frac{1}{3}$% of the remaining capital and C, the remaining. If the total profit, at the end of a year, was INR 20,250, then the profit of C exceeds the profit of B by:
Option 1: INR 5,200
Option 2: INR 4,500
Option 3: INR 6,750
Option 4: INR 2,700
Question : A, B and C enter into a partnership with capitals in the ratio $\frac{2}{3}: \frac{3}{5}: \frac{5}{6}$. After 8 months, A increases his share of capital by 25%. If at the end of the year, the total profit earned is INR 5,820, then the share of C in the profit is:
Option 1: INR 2,050
Option 2: INR 2,350
Option 3: INR 2,450
Option 4: INR 2,250
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