Question

At 12% discount, the selling price of a pen is Rs. 13.20. Find its marked price. Also, find the new selling price of the pen, if it is sold at 5% discount.

Answer 1

Let marked price = Rs. 100x
Discount = 12%
$\therefore S.P.=\frac{100x(100-12)}{100}=\frac{100x\times 88}{100}=88x$
According to statement,
88x = 13.20
$\therefore x=\frac{13.20}{88}=\frac{1320}{88\times 100}=\frac{30}{200}=\frac{3}{20}$
$\therefore$ Marked price $100x=\frac{100\times 3}{20}=Rs.15$
New S.P. = $\frac{15\times 95}{100}$ [$\because$ discount = 5%]
= $\frac{15\times 19}{20}=\frac{3\times 19}{4}=\frac{57}{4}$ = Rs. 14.25