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?
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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