Question : Shobha purchased a saree for INR 5,130 after availing of two successive discounts of 10% and 5%. What is the marked price of the saree?
Option 1: INR 6,000
Option 2: INR 5,400
Option 3: INR 5,000
Option 4: INR 5,200
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Correct Answer: INR 6,000
Solution : Let the Marked Price be $x$. After 10% discount, SP 1 = 90% of $x$ = $0.9x$ After 5% discount, SP 2 = 95% of $0.9x$ ⇒ 5130 = $\frac{95}{100}×\frac{9}{10}x$ ⇒ $x=\frac{5130×100×10}{95×9}$ ⇒ $x=6000$ Hence, the correct answer is INR 6,000.
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