A shopkeeper earns 15% profit on a shirt even after allowing 31% discount on the list price. If list price is Rs125, then cost price of shirt is?

A. 87
B. 80
C. 75
D. None of these

Answer

Correct Answer: C. 75

Detail about MCQs

Let’s break down the problem step by step:

  1. The shopkeeper earns a 15% profit on the shirt.
  2. The shopkeeper offers a 31% discount on the list price.

First, let’s find out the selling price (SP) after applying the discount: Discount = 31% of the list price = 0.31 * 125 = Rs 38.75 So, the selling price after the discount = List price – Discount = Rs 125 – Rs 38.75 = Rs 86.25

Now, we know that the shopkeeper earns a 15% profit on the selling price. Let’s represent the cost price (CP) as x.

The selling price (SP) after profit = Cost price (CP) + Profit So, SP = CP + 15% of CP = CP + 0.15 * CP = 1.15 * CP

Given that SP = Rs 86.25, we can write the equation as: 1.15 * CP = 86.25

Now, we can solve for the cost price (CP): CP = 86.25 / 1.15 = Rs 75

So, the cost price of the shirt is Rs 75.

Therefore, the correct answer is C. 75.

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