A Business Group has 3 Companies X, Y, Z and a Trust P which is engaged in charitable activities. Each group company has to donate 5% of its own funds to the Trust, excluding the loan which the company has taken from other companies of the group. X has given a loan to Y which is equivalent to 10% of the funds of Y. After receiving the loan, Y has funds which are 2 times the funds of Z. If Z gave Rs. 10,000 as donation to the Trust P, how much is the approximate contribution of Y to the Trust P?
Explanation:
Let the initial amount (in Rs.) with companies X, Y and Z be x, y and z respectively.
X has given an amount equivalent to 10% of the amount originally with Y. Hence, X has given Rs. (0.1y) to Y.
∴ Amount now with Y = y + 0.1y = Rs. (1.1y)
The amount with Y is twice the amount with Z. Hence, the amount with Z is Rs. (0.55y).
Z gave Rs. 10,000 i.e. 5% of his funds to the Trust.
∴ 0.05 × 0.55y = 10000
Amount given by Y = 0.05y
= 0.05 × (10000)/(0.55 × 0.05)
= 10000/0.55
= 18181 i.e. approx. Rs. 18,000
Hence, option (b).
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