1.

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 ?

Answer»

Let the marked price of the TV set be Rs x. Discount = 8%

\(\therefore\) S.P. of the TV = 92 % of Rs x = Rs \(\frac{92X}{100}\)

Given, \(\frac{92X}{100}\) = 17940  \(\Rightarrow\) x = Rs \(\frac{17940\times100}{92}\) = Rs 19500

S.P. = Rs 17940, Profit = 19.6%

\(\therefore\) C.P. = Rs \(\big(\frac{17940\times100}{119.6}\big)\) = Rs 15000

Had no discount been offered S.P. would have been Rs 19500

\(\therefore\) Profit = Rs 19500 – Rs 15000 = Rs 4500

Profit% = \(\frac{4500}{15000}\)x 100 = 30%



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