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 ______.

पर्याय

• ₹ 12,600

• ₹ 7,000

• ₹  9,800

• ₹ 8,400

Answer 1

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