Question

a cycle dealer buys 30 bicycle of which 8 are 1st grade and rest 2nd grade for 5600 find at what price he myst sell the 2nd grade bicycles so that if he sells the 1st grade bicycles at 3/4th of this price he makes a profit of 40% of his outlay​

Answer 1

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.

Answer 2

Answer:

and: 280

8a+22b=5600

he makes profit of 40% =5600×40÷100

=2240

5600+2240=7840

8(3/4)x+22(x)=7840

28x=7840

x=7840/28

=280