From the given data, find the ratio of the cost prices of a shirt and a trouser.

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1747159618/aptidude_questions/dp1jj8f0vlwo0t0acajn.png)

Question

From the given data, find the ratio of the cost prices of a shirt and a trouser.

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1747159618/aptidude_questions/dp1jj8f0vlwo0t0acajn.png)

Accepted Answer

Given:
Shirt Selling Price (SP) = ₹1200, Profit = 20%
Trouser Selling Price (SP) = ₹660, Profit = 10%

We know, Profit% = (Profit / Cost Price) * 100
=> Cost Price = Selling Price / (1 + Profit%)

For Shirt:
Cost Price of Shirt = 1200 / (1 + 20/100) = 1200 / 1.2 = ₹1000

For Trouser:
Cost Price of Trouser = 660 / (1 + 10/100) = 660 / 1.1 = ₹600

Ratio of Cost Prices (Shirt : Trouser) = 1000 : 600 = 5 : 3

Answer

Answer

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