model 5 marked price Section-Wise Topic Notes With Detailed Explanation And Example Questions

MOST IMPORTANT quantitative aptitude - 11 EXERCISES

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The following question based on profit & loss topic of quantitative aptitude

Questions : A dealer purchased a washing machine for Rs.7,660. After allowing a discount of 12% on its marked price, he still gains 10%. Find the marked price of the washing machine.

(a) Rs.9,575

(b) Rs.8,246

(c) Rs.9,755

(d) Rs.8,426

The correct answers to the above question in:

Answer: (a)

If the marked price of the washing machine be Rs.x, then

${x × 88}/100 = {7660 × 110}/100$

$x = {7660 × 110}/88$ = Rs.9575

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Read more marked price Based Quantitative Aptitude Questions and Answers

Question : 1

A publisher printed 2000 copies of a book at a cost of Rs.70,000. He distributes 400 copies free as specimen copies. He gave 30% discount on printed price and the printed price of each book is Rs.75. What is his gain or loss percentage ?

a) 20% gain

b) 10% loss

c) 10% gain

d) 20% loss

Answer: (a)

S.P. of each book = ${75 × 70}/100$ = Rs.52.50

Total S.P. = 1600 × 52.50 = Rs.84000

Gain = 84000 - 70000 = Rs.14000

Gain% = $14000/70000 × 100$ = 20%

Question : 2

Richa purchased an article at $4/5$ of its list price and sold it at 20% more than the list price. Richa’s profit percent was

a) 50%

b) 30%

c) 25%

d) 40%

Answer: (a)

Let list price of article = Rs.100

CP for Richa = 100 × $4/5$ = Rs.80

S.P. for Richa = Rs.120

Gain = 120 - 80 = Rs.40

Gain per cent = $40/80 × 100$ = 50%

Question : 3

To gain 8% after allowing a discount of 10%, by what per cent cost price should be hiked in the list price ?

a) 9%

b) 18%

c) 20%

d) 11%

Answer: (c)

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

Then, ${x × 90}/100 = 108$

${9x}/10 = 108$ ⇒ x = ${108 × 10}/9$ = 120

Required percentage = 20%

Question : 4

How much percent above the cost price should a shopkeeper mark his goods so as to earn a profit of 32% after allowing a discount of 12% on the marked price ?

a) 50%

b) 60%

c) 45%

d) 40%

Answer: (a)

Let the C.P. be Rs.100 and the marked price be Rs.x.

$x × 88/100$ = 132

$x = {132 × 100}/88$

= 150 i.e., more by 50%

Question : 5

The cost of manufacture of a tape recorder is Rs.1,500. The manufacturer fixes the marked price 20% above the cost of manufacture and allows a discount in such a way as to get a profit of 8%. The rate of discount is

a) 12%

b) 20%

c) 10%

d) 8%

Answer: (c)

Marked price of tape recorder

= ${1500 × 120}/100$ = Rs.1800

Gain = ${1500 × 8}/100$ = Rs.120

Discount = 1800 - (1500 + 120) = Rs.180

Let Discount per cent = x%, then

${1800 × x}/100$ = 180 ⇒ x = 10%

Method 2 :

If the discount be x%, then

$20 - x - {20x}/100$ = 8

$20 - {6x}/5 = 8$

${6x}/5$ = 20 - 8 = 12

$ x = {12 × 5}/6$ = 10%

Question : 6

The marked price of an article is 50% above cost price. When marked price is increased by 20% and selling price is increased by 20%, the profit doubles. If original marked price is Rs.300, then original selling price is

a) Rs.200

b) Rs.240

c) Rs.275

d) Rs.250

Answer: (d)

Let the original S.P. be x. C.P. of the article

= ${300 × 100}/150$ = Rs.200

After corresponding increases

${x × 120}/100 - 200 = 2(x - 200)$

${6x}/5 - 200 = 2x - 400$

6x - 1000 = 10x - 2000

4x = 1000 ⇒ x = Rs.250

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