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
Correct Answer: INR 2,250
Solution : Capitals ratio of A, B and C = $\frac{2}{3} : \frac{3}{5} : \frac{5}{6}$ = $\frac{2\times30}{3} : \frac{3\times30}{5} : \frac{5\times30}{6}$ = $20 : 18 : 25$ Capitals ratio of A, B and C after the end of the year, $=(20 × 8 + 20 × \frac{5}{4} × 4) : 18 × 12 : 25 × 12$ $=(160 + 100) : 216 : 300$ $=260 : 216 : 300$ Capitals ratio of A, B and C after end of the year $=260x : 216x : 300x = 65x : 54x : 75x$ According to the question, $65x + 54x + 75x = 5820$ ⇒ $194x = 5820$ ⇒ $x = 30$ $\therefore$ Share of C = 75 × 30 = INR 2,250 Hence, the correct answer is INR 2,250.
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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 started a business investing amounts of INR 13,750, INR 16,250 and INR 18,750, respectively. If B's share in the profit earned by them is INR 5,200, what is the difference in the profit (in INR) earned by A and C?
Option 1: 1,600
Option 2: 1,800
Option 3: 1,500
Option 4: 1,200
Question : A, B and C started a business by investing INR 13,750, INR 16,250 and INR 18,750, respectively. If B's share in the profit earned by them is INR 5,200, what is the total profit (in INR) earned by them together?
Option 1: 18,200
Option 2: 17,500
Option 3: 15,600
Option 4: 16,600
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
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