Question 63

A shopkeeper normally allows a discount of 10% on the marked price of each article. During a sale season, he decides to give two more discounts, the first being at a rate of 50% of the original and the secondat a rate of 40% ofthefirst. What is the percentage rate of the equivalent single discount (correct up to two decimal places)?

Solution

Let the marked price be Rs 100

Discount = 10%

S.P = 90

Again he decides to give two more discount.

1st discount = 50% of 10 = 5% and 2nd discount = 40% of 5 = 2%

S.P = $$90\times\frac{95}{100}\times\frac{98}{100}=83.79$$

So, percentage rate of the equivalent single discount = 100 - 83.79 = 16.21%

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