Question 28

A shopkeeper, sold pistachios at the rate Rs 1140 a kg and bears a loss of 5%. Now if he decides to sell it at Rs 1260 per kg, what will be the result?

Solution

Let cost price of 1 kg of pistachios = $$Rs. x$$

If Selling price of 1 kg of pistachios = Rs. 1140

=> Loss % = $$\frac{x - 1140}{x} \times 100 = 5$$

=> $$\frac{x - 1140}{x} = \frac{5}{100} = \frac{1}{20}$$

=> $$20x - 22800 = x$$

=> $$20x - x = 19x = 22800$$

=> $$x = \frac{22800}{19} = 1200$$

When selling price = Rs. 1260

=> Profit % = $$\frac{1260 - 1200}{1200} \times 100$$

= $$\frac{60}{12} = 5\%$$

=> Ans - (A)


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