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Mr. Arun sold an article at a profit of x%. If he had bought it for (x – 10)% less and sold it for ₹ 15 less, he would have made a profit of 30%. If the cost price of the article is 500, then, what is the value of x?


1. 20
2. 18
3. 25
4. 15

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Correct Answer - Option 1 : 20

Cost Price = ₹ 500

Initial SP = ₹ (100 + x)/100 of 500 = ₹ (500 + 5x)

New CP = ₹ (100 – x + 10)% of 500 = ₹ 5(110 – x) = ₹ (550 – 5x)

New SP = 130% of (550 – 5x)

⇒ New SP = 715 – 6.5x

⇒ (500 + 5x) – (715 – 6.5x)= 15

⇒ - 215 + 11.5x = 15

⇒ 11.5x = 230

⇒ x = 230/11.5

⇒ x = 20

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