If the cost price is 100 and the gain is 19%, the selling price is 119. If there is a 15% discount on the marked price and 119 is the selling price, what is the marked price?

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Multiple Choice

If the cost price is 100 and the gain is 19%, the selling price is 119. If there is a 15% discount on the marked price and 119 is the selling price, what is the marked price?

Explanation:
Understanding how discounts relate to the marked price helps you reverse-calculate what the original price must have been. With a 15% discount, the selling price equals 85% of the marked price. So SP = MP × 0.85. We’re given SP = 119, so MP = 119 ÷ 0.85. Since 0.85 is 17/20, this is 119 × 20/17. And 119 ÷ 17 = 7, so MP = 7 × 20 = 140. Quick check: 140 × 0.85 = 119, which matches. The other options would yield different selling prices after the discount.

Understanding how discounts relate to the marked price helps you reverse-calculate what the original price must have been. With a 15% discount, the selling price equals 85% of the marked price. So SP = MP × 0.85. We’re given SP = 119, so MP = 119 ÷ 0.85. Since 0.85 is 17/20, this is 119 × 20/17. And 119 ÷ 17 = 7, so MP = 7 × 20 = 140. Quick check: 140 × 0.85 = 119, which matches. The other options would yield different selling prices after the discount.

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