# 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

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.