Question : Nikhil buys a diamond ring for his wife. The diamond ring is marked at Rs. 20,000 and two successive discounts of 25% and $x$% respectively are given. After getting two consecutive discounts, he paid Rs. 12,000. Find the value of $x$.
Option 1: 40%
Option 2: 10%
Option 3: 20%
Option 4: 35%
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Correct Answer: 20%
Solution :
The marked price of diamond ring = Rs. 20,000
Discount% = 25% and $x$%
The selling price of diamond ring = Rs. 12,000
We know that, for two successive discounts, Selling price = $\frac{100-\text{Discount}_1\%}{100}× \frac{100-\text{Discount}_2\%}{100}×$ marked price
So, $12000=\frac{100-25}{100}\times\frac{100-x}{100}\times 20000$
⇒ $160=200-2x$
⇒ $2x = 40$
⇒ $x=20$
Hence, the correct answer is 20%.
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