Question : What will be the net discount (in percent) after giving three successive discounts of 10%, 20%, and 30%?
Option 1: 50.4%
Option 2: 49.6%
Option 3: 45.3%
Option 4: 48.4%
Correct Answer: 49.6%
Solution : Net discount = $x+y-\frac{xy}{100}$, where $x$ and $y$ are two successive discounts. Total discount of 10% and 20% = $10+20-\frac{\text{10×20}}{100}$ = 30 – 2 = 28% Now, total discount of 28% and 30% = $28+30-\frac{\text{28×30}}{100}$ = 58 – 8.4 = 49.6% Hence, the correct answer is 49.6%.
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