Question
A retailer set the price of a toy at 20% higher than its
cost price and sold it to 'R' with a 25% discount. 'R' then spent Rs. 80 on repairs and sold the toy to 'S' for a 20% profit at Rs. 2040. Calculate the original cost price of the toy for the retailer.Solution
ATQ, Let cost price of the toy for shopkeeper = Rs. 100a Cost price of the toy for 'R' = 1.2 × 0.75 × 100a = Rs. 90a Cost price for 'S' = 1.2 × (90a + 80) According to question, 1.2 × (90a + 80) = 2040 108a + 96 = 2040 108a = 1944 a = 18 Original cost price of the toy = 18 × 100 = Rs. 1800
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