There were two articles and sum of cost price of these articles is Rs.

1.	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. 3002. Rs. 4003. Rs. 4054. Rs. 4205. None of these
Answer» 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.

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. 3002. Rs. 4003. Rs. 4054. Rs. 4205. None of these

Answer» 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.