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Question
A, B and C started a business With their capitals in the ratio 2 : 3 : 5. An increased his capital by 50% after 4 months, B increased his capital by `33 1/3`% after 6 months and C withdrew 50% of his capital after 8 months, from the start of the business. If the total profit at the end of a year was ₹ 86,800, the difference between the shares of A and C in the profit was ______.
Options
₹ 12,600
₹ 7,000
₹ 9,800
₹ 8,400
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Solution
A, B and C started a business With their capitals in the ratio 2 : 3 : 5. An increased his capital by 50% after 4 months, B increased his capital by `33 1/3`% after 6 months and C withdrew 50% of his capital after 8 months, from the start of the business. If the total profit at the end of a year was ₹ 86,800, the difference between the shares of A and C in the profit was ₹ 12,600.
Explanation:
A : B : C
(2 × 4 + 3 × 8) : (3 × 6 + 4 × 6) : (5 × 8 + `5/2` × 4)
32 : 42 : 50
⇒ : 124 → 86800
⇒ : 18 → `86800/124 xx 18`
= 12,600
