Question

847 25% 1 2) If successive discounts of 8%, 4% and 2% are allowed, what would be the net selling price of a bicycle, whose marked price is 1500?​

Answer 1

Step-by-step explanation:

Marked Price ${M.P.}_{i}$ = $1500$

First discount ${D}_{1}$ = $8\%$

Selling Price after first discount ${S.P.}_{1}$

$= {M.P.}_{i}\left(1-\dfrac{{D}_{1}}{100}\right)$

$= 1500\left(1-\dfrac{8}{100}\right) = 1500\left(1-\dfrac{2}{25}\right) = 1500\left(\dfrac{23}{25}\right) = \boxed{1380}$

Second discount ${D}_{2}$ = $4\%$

Selling Price after second discount ${S.P.}_{2}$

$= {S.P.}_{1}\left(1-\dfrac{{D}_{2}}{100}\right)$

$= 1380\left(1-\dfrac{4}{100}\right) = 1380\left(1-\dfrac{1}{25}\right) = 1380\left(\dfrac{24}{25}\right) = \boxed{1324.8}$

Third discount ${D}_{3}$ = $2\%$

Selling Price after third discount ${S.P.}_{3}$

$= {S.P.}_{2}\left(1-\dfrac{{D}_{3}}{100}\right)$

$= 1324.8\left(1-\dfrac{2}{100}\right) = 1324.8\left(1-\dfrac{1}{50}\right) = 1324.8\left(\dfrac{49}{50}\right) = 1298.304 \approx \boxed{1298.30}$

Hence, the net selling price after allowing all discounts ${S.P.}_{net}$ = ${S.P.}_{3} = \boxed{1298.30}$.