Question 16

A shopkeeper sold a T.V. set for Rs. 17,940/-, with a discount of 8% and gained 19.6% If no discount is allowed, what will be his gain per cent?

Solution

Let C.P. = Rs. $$100x$$

=> Selling price after profit of 19.6 %

= $$100x + \frac{19.6}{100} \times 100x = 119.6x$$

Acc. to ques,

=> $$119.6x = 17,940$$

=> $$x = \frac{17,940}{119.6} = 150$$

=> C.P. = Rs. $$15,000$$

Marked price after discount of 8%

= $$\frac{100}{92} \times 17,940$$

= $$19,500$$

$$\therefore$$ Profit when no discount is given

= $$\frac{19,500 - 15,000}{15,000} \times 100$$

= $$\frac{45}{15} \times 10 = 30 \%$$

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