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

MOST IMPORTANT quantitative aptitude - 4 EXERCISES

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The following question based on discount topic of quantitative aptitude

Questions : 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%

The correct answers to the above question in:

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

$x = 96/12 = 8%$

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Read more mixed problems on marked price Based Quantitative Aptitude Questions and Answers

Question : 1

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 % = ${360 × 100}/540$

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

Question : 2

A trader marked the price of his commodity so as to include a profit of 25%. He allowed discount of 16% on the marked price. His actual profit was :

a) 9%

b) 5%

c) 25%

d) 16%

Answer: (b)

Let the C.P. be Rs.100

Marked price = Rs.125

S.P. = 8% of 125

= ${84 × 125}/100$ = Rs.105

Profit = Rs.(105 - 100) = Rs.5

Profit % = 5%

Question : 3

While selling a cooler, a shopkeeper gives a discount of 10% on the marked price. If he gives a discount of 12% he earns Rs.35 less as profit. The marked price of the cooler is

a) Rs.1,625

b) Rs.1,650

c) Rs.1,750

d) Rs.1,725

Answer: (c)

Let the market price of the cooler be x,

According to the question,

(12 - 10)% of x = 35

${x × 2}/100 = 35$

$x = 3500/2$ = Rs.1750

Question : 4

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 : 5

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 : 6

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%

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