Question 96

By selling a transistor for Rs.572, a shopkeeper earns a profit equivalent to 30% of the cost price of the transistor. What is the cost price of the transistor?

Solution

Given the selling price of transistor which is Rs 572 and a man gains 30%

we have to find the cost price of transistor

Selling price, S.P=Rs 572

Gain percentage=30%

By formula

$$S.P = C.P \left[1 + \frac{Gain \%}{100}\right]$$

$$572 = C.P \left[1 + \frac{30}{100}\right]$$

$$572 = C.P \times 1.3$$

$$C.P = \frac{572}{1.3} = 440$$

Hence, the cost price is Rs 440

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