Question : If an item whose marked price is INR 1,000 is sold after two successive discounts of 10% and 15%, then find the price at which the item is sold.
Option 1: INR 775
Option 2: INR 745
Option 3: INR 755
Option 4: INR 765
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Correct Answer: INR 765
Solution : Given : ${D}_1=10\%$ ${D}_2=15\%$ Marked Price = INR 1000 Putting values in the equation, Net discount percentage $=10+15-\frac{10\times 15}{2}=25-1.5=23.5\%$ Now Selling price of the item, Selling price = $1000(1-\frac{23.5}{100})=1000\times 0.765=765$ Hence, the selling price of the item is INR 765.
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