Question : An article was sold for INR 98,496 after providing three successive discounts of 10%, 5%, and 4% respectively on the marked price. What was the marked price?
Option 1: INR 1,20,000
Option 2: INR 1,10,700
Option 3: INR 1,20,200
Option 4: INR 1,20,500
Correct Answer: INR 1,20,000
Solution : For three successive discounts of 10%, 5%, and 4%, Selling price = $\frac{100-\text{Discount}_1\%}{100}× \frac{100-\text{Discount}_2\%}{100}×\frac{100-\text{Discount}_3\%}{100}×$ marked price $⇒ 98496=\frac{100-10}{100}×\frac{100-5}{100}×\frac{100-4}{100}×$ marked price $⇒ 98496=\frac{90}{100}×\frac{95}{100}×\frac{96}{100}×$ marked price $\therefore$ Mrked price $= 120000$ Hence, the correct answer is INR 1,20,000.
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