A shopkeeper marked the price of a product Rs. 900 more than its cost price and announced successive discounts of 25% and 20% on the marked price, but he suffered a loss of 10%. By what percent should he increase the marked price to earn a profit of Rs. 360 at the same discount?
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$\( \frac{50}{7} \)%$
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$\( \frac{100}{7} \)%$
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$\( \frac{50}{3} \)%$
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$\( \frac{100}{3} \)%$
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25%
D
Correct answer
Explanation
Let CP = x. MP = x + 900. After discounts: SP = (x + 900) × 0.75 × 0.8 = 0.6(x + 900). This is at 10% loss, so 0.6(x + 900) = 0.9x. Solving: 0.6x + 540 = 0.9x, x = 1800. Required SP = 1800 + 360 = 2160. New MP needed: 2160 = 0.6 × New MP, so New MP = 3600. Increase from old MP: (3600 - 2700)/2700 × 100 = 33.33% = 100/3%.