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 $$\frac{3}{4}$$th of this price, he makes a profit 40% on his outlay?

A. Rs. 180

B. Rs. 279

C. Rs. 360

D. Rs. 450

E. None of these

Answer: Option B

Solution(By Examveda Team)

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 × $$\frac{{3{\text{p}}}}{4}$$ = 6615
Or, 8p + $$\frac{{33{\text{p}}}}{2}$$ = 6615

In the expression for LHS = RHS; we need $$\frac{{33{\text{p}}}}{4}$$ 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.