Question 54

Three successive discounts on the marked price of an article turns out to be equivalent to a single discount of 19%.If the rates of the first and second discountare 10% and 4% respectively, what is the rate of the third discount?

Solution

Let the marked price be Rs 100 and third discount be x %

According to the question,

$$100\times \frac{90}{100}\times\frac{96}{100}\times\frac{100-×}{100}=\frac{81}{100}$$

$$100-×=93.75$$

$$x=100-93.75=6.25$$

Hence, third discount = 6.25%

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