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?
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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