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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