Question
A and B are partners in a business. A contributes 1/4 of the capital for 15 months and B received 2/3 of the profit. For how long Bs money was used?
Answer: Option D
- Let the total profit be Rs. z.
Then, B’ share = Rs. 2z/3, A’s share = Rs. [z - 2z/3] = Rs. z/3
∴ A : B = z/3 : 2z/3 = 1 : 2.
Let the total capital be Rs. x and suppose B’s money was used for a months. Then,
[1/4 a x 15] / [3/4 a x y] = 1/2
⇔ y = [15 x 2 / 3] = 10.
Thus, B’s money was used for 10 months.
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- Let the total profit be Rs. z.
Then, B’ share = Rs. 2z/3, A’s share = Rs. [z - 2z/3] = Rs. z/3
∴ A : B = z/3 : 2z/3 = 1 : 2.
Let the total capital be Rs. x and suppose B’s money was used for a months. Then,
[1/4 a x 15] / [3/4 a x y] = 1/2
⇔ y = [15 x 2 / 3] = 10.
Thus, B’s money was used for 10 months.
Was this answer helpful ?
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