Question 30

By selling a tape - recorder for ₹ 1040 a man gains 4% . If he sells if for ₹ 950 , his loss will be

Solution

Let cost price = Rs. $$100x$$

Selling price = Rs. 1040

=> Profit % = $$\frac{1040-100x}{100x} \times 100=4$$

=> $$1040-100x=4x$$

=> $$4x+100x=104x=1040$$

=> $$x=\frac{1040}{104}=10$$

Thus, cost price = $$100 \times 10=Rs.$$ $$1000$$

If selling price = Rs. 950

=> Loss % = $$\frac{1000-950}{1000} \times 100$$

= $$\frac{50}{10}=5\%$$

=> Ans - (A)


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