Question 63

Radha bought a fridge and a washing machine together for ₹57300. She sold the fridge at a profit of 15% and washing machine at a loss of 24% and both are sold at the same price. The cost price of washing machine(in ₹) is:

Solution

Let the cost price of fridge = x

Profit = 15%

Selling price of fridge = $$\frac{115}{100}$$x

Cost price of washing machine = 57300 - x

Loss = 24%

Selling price of washing machine = $$\frac{76}{100}\left(57300-\text{x}\right)$$

According to the problem, both are sold at same price.

$$\frac{115}{100}$$x = $$\frac{76}{100}\left(57300-\text{x}\right)$$

115x + 76x = 76$$\times$$57300

191x = 76$$\times$$57300

x = 76$$\times$$300

x = 22800

Cost price of fridge = ₹22800

Cost price of washing machine = 57300 - x

= 57300 - 22800

= ₹34500

Hence, the correct answer is Option B


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