Multiple choice

A sports shop offers an 18% discount on the marked price of each racket. A school buys 10 identical rackets. The cost price per racket is Rs. 164. Even after giving the discount, the shopkeeper makes a 25% profit on the sale. What is the marked price per racket?

  1. Rs. 240

  2. Rs. 270

  3. Rs. 250

  4. Rs. 280
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Cost price = 164. Profit = 25%, so Selling Price = 164 * 1.25 = 205. Discount = 18%, so SP = MP * (1 - 0.18) = 0.82 * MP. 205 = 0.82 * MP, so MP = 205 / 0.82 = 250.

AI explanation

The selling price per racket is calculated using the formula Selling Price = Cost Price x (1 + Profit Percentage / 100), giving 164 x 1.25 = 205. The marked price is found by dividing the selling price by (1 - discount percentage / 100). So, the marked price is 205 / (1 - 0.18) = 205 / 0.82 = 250. The marked price per racket is Rs. 250.

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