Question : A Shopkeeper marked the price as INR 15,000 on an article, and a successive discount of 5%, 10% and 20% was allowed on it. What is the selling price?
Option 1: INR 10,260
Option 2: INR 13,520
Option 3: INR 11,520
Option 4: INR 9,850
Correct Answer: INR 10,260
Solution :
A successive discount of 5%, 10%, and 20% means that these discounts are applied one after another
For three successive discounts of 5%, 10%, and 20%,
Selling price = $\frac{100-\text{Discount}_1\%}{100}× \frac{100-\text{Discount}_2\%}{100}×\frac{100-\text{Discount}_3\%}{100}×$ marked price
⇒ Selling price $=\frac{100-5}{100}×\frac{100-10}{100}×\frac{100-20}{100}×15000$
⇒ Selling price $=\frac{95}{100}×\frac{90}{100}×\frac{80}{100}×15000$
⇒ Selling price $=10260$
Hence, the correct answer is INR 10,260.
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