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1. 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 34th of this price, he makes a profit 40% on his outlay?

Solution:
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 × 3p4 = 6615
Or, 8p + 33p2 = 6615

In the expression for LHS = RHS; we need 33p4 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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