Question

Question:-
A bike agent buys 60 bicycles, of which 16 are first grade and the rest are second grade, for Rs 6,300. 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?
Choices:
Rs 360
Rs 300
Rs 200
Rs 180​

Answer 1

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.