Question

The selling price of one article after allowing a discount of 15% on its cost price, is the same as the selling price of another article after allowing a discount of 25% on its cost price. If the sum of the cost prices of both the articles is Rs. 640, then find the selling price of each article.
1. Rs. 250
2. Rs. 255
3. Rs. 280
4. Rs. 340

Answer 1

Correct Answer - Option 2 : Rs. 255

Given:

Selling prices of two articles after allowing a discount of 15% and 25% on their cost price are same.

Sum of cost prices of both the articles = Rs. 640

Formula used:

(100 - Discount %) of cost price of 1st article = (100 - Discount %) of cost price of 2nd article

Calculations:

Let the cost price of 1st article and 2nd article be 'x' and 'y' respectively.

According to question,

(100 - 15)% × x = (100 - 25)% × y

⇒ 85% × x = 75% × y

⇒ x/y = 15/17

Let the value of x and y be 15t and 17t respectively.

According to question,

⇒ 15t + 17t = 640

⇒ 32t = 640

⇒ t = 20

⇒ 15t = 300

⇒ The cost price of 1st article = Rs. 300

⇒ The selling price of the 1st article = 85% of 300

⇒ Rs. 255

∴ The selling price of each article is Rs. 255.