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hasnain

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From: Chichawatni

Registered: 2014-10-13

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3/4th Price Profit:

Question:
A rickshaw dealer buys 30 rickshaws for Rs. 4725. Of these, 8 are four-seaters and the rest are two seaters. At what price must he sell the four-seaters so that if he sells the two-two seaters at 3/4th of this price, he makes a profit 40% on his outlay?

Option A):
Rs. 279
Option B):
Rs. 360
Option C):
Rs. 450
Option D):
Rs. 180

Correct Answer is Option A):
Rs. 279

Explanation:
On an investment of Rs. 4725, a profit of 40% means a profit of 1890.
Hence, the targeted sales realization is Rs. 6615.
The required equation;

8p+22*(3p)/4 = 6615;
Or, 8p+(33p/2) = 6615;

In the expression for LHS = RHS; we need 33p/4 to be odd number.
This can only happen when p is not a multiple of 4.
Hence, option a and c gets eliminated automatically.
Now, we check for option b which is correct.

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