model 4 mixed discount problems of marked price Practice Questions Answers Test with Solutions & More Shortcuts

Question : 21 [SSC CPO S.I.2003]

A man buys an article for Rs.80 and marks it at Rs.120. He then allows a discount of 40%. What is the loss or gain per cent ?

a) 12% loss

b) 12% gain

c) 10% loss

d) 10% gain

Answer: (c)

Discount = $120 × 40/100$ = Rs.48

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

Loss = 80 - 72 = Rs.8

Loss % = $8/80 × 100 = 10$%

Using Rule 6,
If r% of profit or loss occur after giving D% discount on marked price, then
$\text"MP"/\text"CP" = {100 ± r}/{100 - D}$
(positive sign for profit and negative for loss)

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%

Question : 22 [SSC SAS 2010]

While selling a shirt, a shopkeeper gives a discount of 7%. If he had given a discount of 9% he would have got Rs.15 less as profit. The marked price of the shirt is

a) Rs.720

b) Rs.750

c) Rs.600

d) Rs.712.50

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

Question : 23

A tradesman gives 4% discount on the marked price and gives 1 article free for buying every 15 articles and thus gains 35%. The marked price is increased above the cost price by

a) 39%

b) 40%

c) 20%

d) 50%

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%

Question : 24 [SSC CGL Prelim 2002]

A fan is listed at Rs.1,500 and a discount of 20% is offered on the list price. What additional discount must be offered to the customer now to bring the net price to Rs.1,104 ?

a) 10%

b) 8%

c) 12%

d) 15%

Answer: (b)

First discount = 20%

Price after first discount

= Rs.$(1500 - 20/100 × 1500)$

= Rs.(1500 - 300) = Rs.1200

Let the additional discount be x%

$(1200 - {x × 1200}/100)$ = 1104

1200 - 12x = 1104

12x = 1200 - 1104 = 96

$x = 96/12 = 8%$

Question : 25 [SSC CGL Prelim 1999]

The printed price of an article is Rs.900 but the retailer gets a discount of 40%. He sells the article for Rs.900. Retailer's gain per cent is :

a) 60%

b) 40%

c) 68$1/3$%

d) 66$2/3$%

Answer: (d)

Printed price = Rs.900

On 40% discount

= $900 - {900 × 40}/100$ = 900 - 360

C.P. for retailer = 540

S.P. = 900

Profit = 900 - 540 = 360

Gain % = ${360 × 100}/540$

= $200/3 = 66{2}/3$%

IMPORTANT quantitative aptitude EXERCISES

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