Question

by selling a chair for ₹30 a dealer makes a profit of 25% . find out what price did the dealer pay for it

Answer 1

Let the Cost Price be Rs a

Gain % = Gain × 100 / CP

=> 25 = Gain × 100 / a

=> Gain = 25a /100

=> Gain = a/4

Selling price = Cost Price + Gain

=> 30 = a + a/4

=> 30 = 5a/4

=> a = 30 × 4 / 5

=> a = 6 × 4

=> a = 24

Cost Price = Rs 24

Answer 2

Given Selling price = 30.

We know that CP = (100/100 + Gain%) * SP

                              = (100/100 + 25) * 30

                              = 100/125 * 30

                             = 24.


Hope this helps!