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:
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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