A shopkeeper sold a TV set for Rs. 17940 with a discount of 8 % and earned a profit of 19.6 % What w

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7.Profit and Loss

medium

A shopkeeper sold a $TV$ set for $Rs.$ $17940$ with a discount of $8 \%$ and earned a profit of $19.6 \%$ What would have been the percentage of profit earned if no discount was offered?

A

$24.8$

B

$25$

C

$26.4$

D

$30$

Solution

$S.P.$ $=Rs. 17940 ; \quad$ profit $\%=19.6$

$\therefore C.P. =\frac{17940}{1.196}=Rs. 15000$

Marked price $=17940 \times \frac{100}{92}=195 \times 100=Rs. 19500$

$\therefore$ Profit $\%$ without giving discount $=\frac{19500-15000}{15000} \times 100=\frac{4500}{15000} \times 100=30 \%$

Standard 13

Quantitative Aptitude

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