model 5 marked price Section-Wise Topic Notes With Detailed Explanation And Example Questions
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The following question based on profit & loss topic of quantitative aptitude
(a) Rs.200
(b) Rs.240
(c) Rs.275
(d) Rs.250
The correct answers to the above question in:
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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Read more marked price Based Quantitative Aptitude Questions and Answers
Question : 1
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 »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 : 2
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 »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 : 3
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
Answer »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
Question : 4
The marked price of an article is 10% higher than cost price. A discount of 10% is given on marked price. In this kind of sale, the seller bears :
a) no loss, no gain
b) a gain of 1%
c) a loss of 1%
d) a loss of 5%
Answer »Answer: (c)
Let the CP of article be 100.
Marked price = Rs.110
After 10% discount,
SP = 90% of Rs.110 = Rs.99
Loss = Rs.1 i.e. 1% of loss
Question : 5
At what per cent above the cost price, must a shop–keeper marks his goods so that he gains 20% even after giving a discount of 10% on the marked price ?
a) 25%
b) 33$1/3$%
c) 37$1/2$%
d) 30%
Answer »Answer: (b)
Let the CP be Rs.100. Then, SP = Rs.120.
Let the marked price be x.
Then, 90% of x = 120
$x = {120 × 100}/90 = 400/3 = 133{1}/3%$
It means he should mark $33{1}/3%$ higher than CP.
Question : 6
A shopkeeper allows 23% commission on his advertised price and still makes a profit of 10%. If he gains Rs.56 on one item, his advertised price of the item, (in Rs.) is
a) 820
b) 790
c) 800
d) 780
Answer »Answer: (c)
Let the advertised price be x.
S.P. = ${77x}/100$
C.P. = $({77x}/100 - 56)$
${77x - 5600}/100 × 110/100 = {77x}/100$
${77x - 5600}/100 = {77x}/110 = {7x}/10$
77x - 5600 = 70x
7x = 5600 ⇒ x = Rs.800
GET profit & loss PRACTICE TEST EXERCISES
Model 1 Basic Concepts of C.P and S.P
model 2 gain lost percentage
model 3 gain/loss % with C.P/S.P
model 4 sold & brought
model 5 marked price
model 6 sold in circular path
model 7 sold at loss
model 8 two article sold in different rates
model 9 selling an article & interchanging its values
model 10 reduced/increased price of an article
model 11 ratio & partnership
profit & loss Shortcuts and Techniques with Examples
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Model 1 Basic Concepts of C.P and S.P
Defination & Shortcuts … -
model 2 gain lost percentage
Defination & Shortcuts … -
model 3 gain/loss % with C.P/S.P
Defination & Shortcuts … -
model 4 sold & brought
Defination & Shortcuts … -
model 5 marked price
Defination & Shortcuts … -
model 6 sold in circular path
Defination & Shortcuts … -
model 7 sold at loss
Defination & Shortcuts … -
model 8 two article sold in different rates
Defination & Shortcuts … -
model 9 selling an article & interchanging its values
Defination & Shortcuts … -
model 10 reduced/increased price of an article
Defination & Shortcuts … -
model 11 ratio & partnership
Defination & Shortcuts …
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