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A trader sold a truck at a loss of 6%. If he sold it for Rs. 15750 more, he would have gained 15%. What is the cost price of the truck?
1. Rs. 75000
2. Rs. 80,000
3. Rs. 45,000
4. Rs. 50,000

1 Answer

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Best answer
Correct Answer - Option 1 : Rs. 75000

Given

Loss = 6%

Formula used

Selling price = cost price – loss

Selling price = cost price + profit

Calculation

Let the cost price is Rs. x

Selling price = x – 6% of x

⇒ 94x/100

New selling price = x + 15% of x

⇒ (94x/100) + 15750 = x + 15% of x

⇒ (94x/100) – (115x/100) = -15750

⇒ 21x/100 = 15750

⇒ x = Rs. 75,000

∴ The cost price is Rs. 75,000.

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