Question

A cycle agent buys 30 cycles of which 8 are first grade and the rest are second grade for ₹3150 find at what price he must sell the second grade cycles at three quarters of the price he may make a profit of 40% on his out lay?

Answer 1

Answer:

Answer

Let the S.P.of one A grade cycle = Rs. n

Then, the S.P. of one B grade cycle = Rs.

4

3n

C.P. of 30 cycles = Rs. 3150, profit =40%.

∴ S.P. of 30 cycles =

100

140

×3150= Rs. 3150×1.4

According to the question, we have

8n+22×

4

3n

=3150×1.4

⇒32n+66n=17640

⇒98n=17640

⇒n=180

Therefore, he should sell the first grade bicycle at Rs. 180 each.