Multiple choice

In a shop, shirts are usually sold at 40% above the cost price. During a sale, the shopkeeper offers a discount of 10%, off the usual selling price. If he manages to sell 72 shirts for Rs. 13,608, then his cost price per shirt in Rs. is

  1. 210

  2. 150

  3. 149

  4. 125
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Selling price per shirt = 13608 / 72 = 189. This price includes a 10% discount on the marked price (MP), so 0.9 * MP = 189, meaning MP = 210. Since MP is 40% above cost price (CP), 1.4 * CP = 210, so CP = 150.

AI explanation

Dividing the total sale amount of Rs. 13,608 by 72 shirts gives the selling price per shirt, which is Rs. 189. Since this selling price reflects a 10% discount on the usual price, the usual price is 189 divided by 0.90, which equals Rs. 210. This usual price is 40% above the original cost price, so 1.40 multiplied by the cost price equals 210. Solving for the cost price gives 210 divided by 1.40, resulting in Rs. 150.

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