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Naman purchased two pairs of shoes. On the Puma shoes, he got a discount of 40%, while on the Nike shoes he got successive discounts of 20% and 20%. The marked price of the Puma shoes is 25% more than that of the Nike shoes. While billing, the shopkeeper charged him 5% tax on the sum of the selling prices of both shoes. If the total amount paid by Naman is Rs. 5838, then find the marked price of the Puma shoes.

1. Rs. 5000
2. Rs. 3000
3. Rs. 4000
4. Rs. 6000

Correct answer: Rs. 5000

Solution

The total bill includes 5% tax, so the pre-tax selling price is 5838 ÷ 1.05 = 5560. Let Nike marked price be x, then Puma marked price = 1.25x. Puma selling price = 60% of 1.25x = 0.75x, and Nike selling price after two 20% discounts = 0.8 × 0.8x = 0.64x. So 0.75x + 0.64x = 1.39x = 5560, giving x = 4000 and Puma marked price = 5000.

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