Question

There were two articles and sum of cost price of these articles is Rs. 3,900. One of them was sold at a profit of 25% and another at loss of 30%, If the selling price of both the articles were same find the amount loss.

1. Rs. 300
2. Rs. 400
3. Rs. 405
4. Rs. 420
5. None of these

Answer 1

Correct Answer - Option 2 : Rs. 400

Given:

Cost price = Rs.3,900

One of them was sold at a profit of 25% and another at loss of 30%

Concept:

Loss amount = Cost price – selling price

Calculation:

Let, Cost price of first article = Rs.x

Then, Cost price of second article = Rs.(3900 – x)

From question,

x{1 +(25/100)} = (3900 – x){1 – (30/100)}

⇒ 5x/2 = (7/5) × (3900 – x)

⇒ 25x = 14 × 3900 – 14x

⇒ 39x = 14 × 3900

⇒ x = Rs.1,400

First article cost = Rs.1,400

Second article cost = 3900 – 1400 = Rs.2,500

Selling price of First article = 1400 × (125/100) = Rs.1,750

Selling price of Second article = 2500 × (70/100) = Rs.1,750

Total selling price of two articles = 1750 + 1750 = Rs.3,500

Loss amount = 3900 – 3500 = Rs.400

∴ Amount of overall loss is Rs.400.