A shopkeeper sold a T.V. set for Rs. 17,940/-, with a discount of 8% a

1.	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?1). 25%2). 26.4%3). 24.8%4). Cannot be determined
Answer» 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 = $\frac{19,500 - 15,000}{15,000} \times 100$ = $\frac{45}{15} \times 10 = 30 \%$

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?1). 25%2). 26.4%3). 24.8%4). Cannot be determined

Answer»

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

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

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