Q12 of 80 Page 56

By selling a radio for `903, a shop keeper gains 5%. Find the cost price of the radio.

Let the cost price (CP) of the radio be Rs x.

The selling price of the radio = SP = Rs 903.


Gain percent = 5%.


Gain percent =


According to the given condition,



⇒ 5x = 100 (903 – x) (Transposing x to LHS)


⇒ 5x = 90300 – 100x (Removing bracket)


⇒ 5x + 100x = 90300 (Transposing 100x to LHS)


105x = 90300


⇒ x = (Transposing 105 to RHS)


x = 860


∴ The cost price of the radio is Rs 860.


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