Question

A TV was sold at a price of 70% higher than it was bought. A fridge was sold at 40% of its price. The price of fridge was Rs. 9000 more than the price of TV. Both the items were sold at a total of Rs. 28800. Find the selling price of the fridge. 
1. Rs. 10000
2. Rs. 7800
3. Rs. 21000
4. Rs. 8400

Answer 1

Correct Answer - Option 4 : Rs. 8400

Given:

The price of fridge = The price of TV + Rs. 9000

SP of TV = 70% higher than CP of TV

SP of fridge = 40% of CP of fridge

Sum of the SP of both the items = Rs. 28800

Calculation:

Let the CP of TV and fridge be x and (x + 9000) respectively

SP of fridge = 40% of CP of fridge

⇒ SP of fridge = 0.4(x + 9000)

SP of TV = 70% higher than CP of TV

⇒ SP of TV = CP of TV + 70% of CP

⇒ SP of TV = 1.7x

The sum of the SP = 28800

⇒ 1.7x + 0.4(x + 9000) = 28800

⇒ 2.1x = 28800 – 3600

⇒ 2.1x = 25200

⇒ x = 12000

SP of fridge = 0.4(x + 9000)

⇒ 0.4(12000 + 9000)

⇒ 8400

∴ The selling price of fridge is Rs. 8400.