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

Answer: (c)

Discount = $120 × 40/100$ = Rs.48

S.P. = Rs.(120 - 48) = Rs.72

Loss = 80 - 72 = Rs.8

Loss % = $8/80 × 100 = 10$%

Here, C.P. = Rs.80, M.P. = Rs.120, D = 40%

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

$120/80 = {100 + r}/{100 - 40}$

$3/2 = {100 + r}/60$

90 = 100 + r

r =–10% (–ve sign shows loss)

Loss = 10%

Answer: (b)

Let the marked price of the shirt be x.

Difference of discounts = 2%

2% of x = 15

${x × 2}/100$ = 15

$x = {15 × 100}/2$ = Rs.750

Answer: (d)

Let the C.P. of each article be Rs.1

For 15 books, the tradesman gives 1 book free.

C.P. of 15 books = Rs.16

S.P. of 15 books

= $16 × 135/100$ = Rs.$108/5$

S.P. of 1 book

= $108/{5 × 15}$ = Rs.$36/25$

Now, 96% of marked price = $36/25$

Marked price

= ${36 × 100}/{25 × 96} = 3/2 = Rs.1.5$

The required % increase

= ${0.5}/1 × 100$ = 50%

Answer: (d)

Let the marked price of the article be x

According to the question,

96% of x = 120% of 100

$x × 96/100 = {100 × 120}/100$

$x = {100 × 120}/100$ = Rs.125

Using Rule 6,

Here, r = 20%, D = 4%,

C.P. = Rs.100, M.P. = ?

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

$\text"MP"/100 = {100 + 20}/{100 - 4}$

M.P. = ${120 × 100}/96$

= $1000/8$ = Rs.125

Answer: (d)

Discount = 15%

SP of racket = 85% of Rs.30 = Rs.25.50

One shuttle cock of Rs.1.50 is free.

Actual SP

= Rs.(25.50 - 1.50) = Rs.24

He still gains 20%

CP = $100/120 × 24$ = Rs.20

Answer: (b)

Discount = 650 - 572 = Rs.78

If the discount bex% then

${650 × x}/100 = 78$

$x = {78 × 100}/650 = 12%$

Here, M.P. = Rs.650, S.P. = Rs.572

Discount % = $\text"M.P. - S.P."/\text"M.P." × 100$

= ${650 - 572}/650 × 100$

= $7800/650$ = 12%