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A vendor marked the price of a commodity 50% above the cost price. He allowed two successive discounts of 30% and 25% to a customer. As a result, he incurred a loss of 722.50. Had he not offered the successive discounts, what would have been the selling price of the commodity?

A vendor marked the price of a commodity 50% above the cost price. He allowed two successive discounts of 30% and 25% to a customer. As a result, he incurred a loss of 722.50. Had he not offered the successive discounts, what would have been the selling price of the commodity? Correct Answer 5100

Given:

He incurred a loss of 722.50

Calculation:

Let the cost price of commodities be 100x.

⇒ Mark price of the commodity = 150x

⇒ Selling price after two successive discounts = (70/100) × (75/100) × 150x

⇒ 0.70 × 0.75 × 150x = 100x - 722.50

⇒ x = 34

⇒ The selling price of without discounts 150 × 34 = 5100

∴ The required result is 5100.

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