Question
A shopkeeper sold a pair of shoes
with a 28% discount and earned a profit of Rs. 150. If the cost price of the shoes had been 20% lower and a 16% discount had been applied, the profit would have been Rs. 300 higher. Determine the original cost price of the shoes.Solution
ATQ, Let marked price of the shoes be Rs. 100x Selling price of the shoes = 0.72 × 100x = Rs. 72x Cost price of the shoes = Rs. (72x – 150) According to question; 0.84 × 100x – 0.80 × (72x – 150) = 450 Or, 84x – 57.6x + 120 = 450 Or, 26.4x = 330 Or, x = 12.5 Desired answer = 72 × 12.5 – 150 = Rs.750
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