Question

Sujata buys two articles for Rs. 460 and sells one at a loss of 28% and the other at a gain of 12%. If the selling price of both the articles is the same, then what is the difference in their cost prices?
1. Rs. 100
2. Rs. 180
3. Rs. 80
4. Rs. 90

Answer 1

Correct Answer - Option 1 : Rs. 100

Given:

Sujata buys two articles for Rs. 460.

He sells one of them 28% loss and another at 12% gain.

Selling price of both articles = same.

Formula:

If selling price of two articles are same, which are sold at x% loss and other sold at y% gain, then

Cost of first article × (100 – x)/100 = Cost of second article × (100 + y)/100

Calculation:

Let cost of two books be Rs. x and Rs. y respectively

x × (72/100) = y × (112/100)

⇒ x/y = 14/9

⇒ x : y = 14 : 9

⇒ x : y = 14k : 9k

Now,

⇒ 14k + 9k = 460

⇒ 23k = 460

⇒ k = 460/23

⇒ k = 20

∴ Difference in their cost prices of articles = (14 - 9) × 20 = Rs. 100