model 4 mixed discount problems of marked price Section-Wise Topic Notes With Detailed Explanation And Example Questions

Answer: (a)

If the marked price of the article be x, then

96% of x = 1920

${x × 96}/100 = 1920$

$x ={1920 × 100}/96$ = Rs.2000

Using Rule 2,

S.P. = Rs.1920 D = 4% M.P. = ?

M.P. = $\text"S.P. × 100"/{100 - D}$

= ${1920 × 100}/{100 - 4}$

= ${1920 × 100}/96$ = Rs.2000

Answer: (c)

If the marked price of T.V. be x, then,

${x × 5}/100$ = 500

$x = {500 × 100}/5$ = Rs.10000

Initial S.P. of T.V.

= ${10000 × 80}/100$ = Rs.8000

Answer: (b)

Let the marked price be x.

${x × 85}/100$ = 629

$x = {629 × 100}/85$ = Rs.740

Using Rule 2,

M.P. = ? , S.P. = Rs.629, D = 15%

M.P. = $\text"S.P. × 100"/{100 - D}$

= ${629 × 100}/{100 - 15}$

= $62900/85$ = Rs.740

Answer: (b)

Let the CP of article be x and its marked price be y.

According to the question,

90% of y = 115% of x

${y × 90}/100 = {x × 115}/100$

$x/y =90/115 = 18/23$ ⇒ 18 : 23

Using Rule 6,

Here, r = 15%, D = 10%

$\text"MP"/\text"CP" = {100 + r}/{100 - D}$

= ${100 + 15}/{100 - 10}$

$\text"M.P."/ \text"C.P."= 115/90$

$\text"C.P."/ \text"M.P."= 90/115$

$\text"C.P."/ \text"M.P."= 18/23$

C.P. : M.P. = 18 : 23

Answer: (b)

Let the marked price of the article be x.

Equivalent discount for successive discounts of 30% and 20%

= $(30 + 20 - {30 × 20}/100)$%

= (50 - 6)% = 44%

(100 - 44)% of x = 2240

${x × 56}/100 = 2240$

$x = {2240 × 100}/56$ = Rs.4000

Answer: (b)

Let the cost price of toy be Rs.100 and the marked price be x.

${x × 90}/100 = 120$

$x = {120 × 100}/90$ = Rs.$400/3$

S.P. after a discount of 20%

= 80% of $400/3$

= ${400 × 80}/300 = 320/3 = 106{2}/3$

Profit percent

=$106{2}/3 - 100 = 6{2}/3$%