A bike agent buys 30 bicycles, of which 8 are first grade and the rest are second grade, for Rs 3,150, Find at what price he must sell the first grade bikes so that if he sells the second grade bikes at three quarters of the price, he may make a profit of 40% on his outlay.	Choose the correct answer:
A) Rs 200 B) Rs 240 C) Rs 180 D) Rs 210 E) Rs 230
Suppose the price of first grade bike = Rs X   And the price of second grade bike = Rs Y   Therefore, 8X + 22Y = 3150   Suppose he sells the first grade bike at the rate of Rs Z per cycle   Therefore, 8Z + 22 x 3/4Z = 3150 + 40% of 3150   98Z = 17640 =&gt; Z = 180   S.P. of the first grade bike = Rs 180   S.P. of the second grade bike = Rs 135   ANSWER:Rs 180
<result>C</result>
A bike agent buys 30 bicycles, of which 8 are first grade and the rest are second grade, for Rs 3,150, Find at what price he must sell the first grade bikes so that if he sells the second grade bikes at three quarters of the price, he may make a profit of 40% on his outlay.