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
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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