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Question no. 56420

A watch marked at Rs. 720 is bought for Rs. 550.80 after two successive discounts, the first being 10%. What was the second discount percentage?

Select your answer for: A watch marked at Rs. 720 is bought for Rs. 550.80 after two successive discounts, the first being 10%. What was the second discount percentage?
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Answer: C. 15%

Explanation

Applying a ten percent discount to the marked price of seven twenty gives six forty eight. Dividing the final purchase price of five fifty point eighty by six forty eight yields zero point eight five. Subtracting zero point eight five from one reveals a second discount percentage of fifteen percent. Successive discounts are applied sequentially where each percentage reduces the newly updated price. Retail pricing models use multiplication factors to calculate net prices after multiple promotional markdowns. Finding an unknown discount percentage requires comparing the intermediate price with the final transaction amount.

Retail merchants use successive discount calculations during seasonal clearance events with stacked coupons. Wholesale distributors determine final profit margins after applying multiple tiered customer discounts. Consumers evaluate promotional sales offers by calculating the true cumulative discount percentage applied. Option a assumes a twelve percent markdown which does not match the final transaction price. Option b results from an incorrect division ratio between the intermediate and final prices. Option d overestimates the second markdown by assuming a larger price reduction factor.

Subject
Mathematics
Category
Mathematics
Topic
—
Difficulty
medium

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