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?
Choose the correct answer:
A) Rs. 180	B) Rs. 279	C) Rs. 360	D) Rs. 450	E) None of these
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*(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.   Answer: Option Rs. 279
<result>B</result>
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?