Question 53

The marked price of a watch was ₹96,000. A man bought the same watch for ₹67,584 after getting two successive discounts. If the first discount was of 12%, what was the quantum of the second discount?

Solution

Let's assume the second discount is y%.

The marked price of a watch was ₹96,000. A man bought the same watch for ₹67,584 after getting two successive discounts. If the first discount was of 12%.

96000 of (100-12)% of (100-y)% = 67584

$$96000\times\frac{88}{100}\times\frac{(100-y)}{100}=67584$$

$$96\times88\times\frac{(100-y)}{10}=67584$$

$$96\times88\times(100-y)=675840$$

$$(100-y)=80$$

y = 100-80

y = 20%

So the second discount is 20%.


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