model 3 gain/loss % with C.P/S.P Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 11 EXERCISES
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New 189+ Profit and Loss Aptitude MCQs for All Govt Exams »
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189+ Profit and Loss Questions for All Competitive Exams »
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New 199+ Profit and Loss MCQ Test with Shortcuts, Tricks »
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Top 199+ Profit and Loss Aptitude Practice Test For UPSC »
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New 249+ Profit and Loss Questions and Answers for TNPSC »
The following question based on profit & loss topic of quantitative aptitude
(a) 90
(b) 80
(c) 100
(d) 72
The correct answers to the above question in:
Answer: (b)
Let the cost price be x.
(100 + x)% of x = 144
(100 + x)x = 14400
$x^2 + 100x - 14400$ = 0
$x^2 + 180x - 80x - 14400$ = 0
x(x + 180) - 80 (x + 180) = 0
(x + 180) (x - 80) = 0
x = Rs.80 [x ≠180]
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Read more gain loss with cp sp Based Quantitative Aptitude Questions and Answers
Question : 1
By selling 1 dozen ball pens, a shopkeeper earned the profit equal to the selling price of 4 ball pens. His profit per cent is
a) 33$1/3$%
b) 40%
c) 31$1/4$%
d) 50%
Answer »Answer: (d)
SP of 12 ball pens = CP of 12 ball pens + SP of 4 ball pens.
SP of 8 ball pens = CP of 12 ball pens
Gain per cent = $4/8 × 100 = 50%$
Using Rule 9,
Here, x = 12, y = 4
∴ Profit% = ${y × 100}/{x - y}$
= ${4 × 100}/{12 - 4}$ = 50%
Question : 2
The loss incurred on selling 21 articles equals the selling price of 3 articles. Then the loss per cent is
a) 12$1/2$%
b) 10%
c) 11$1/9$%
d) 9$1/11$%
Answer »Answer: (a)
S.P. of 3 articles
= C.P. of 21 articles - S.P. of 21 articles
S.P. of 24 articles = C.P. of 21 articles
Loss percent = ${24 - 21}/24 × 100 = 12{1}/2%$
Using Rule 9,
Here, x = 21, y = 3
∴ Loss% = ${y × 100}/{x + y}$
= ${3 × 100}/{21 + 3} = 100/8$
= $25/2 = 12{1}/2%$
Question : 3
By selling 144 hens Mahesh suffered a loss equal to the selling price of 6 hens. His loss per cent is
a) 9%
b) 3%
c) 4$1/2$%
d) 4%
Answer »Answer: (d)
CP of 144 hens - SP of 144 hens = Loss = SP of 6 hens
SP of 150 hens = CP of 144 hens
Let CP of each hen = Rs.1
CP of 150 hens = Rs.150
SP of 150 hens = Rs.144
Loss% = $6/150$ × 100 = 4%
Using Rule 9, On selling 'x' articles the profit or loss is equal to Selling of 'y' articles, then Profit% ${y × 100}/{x + y}$Loss% = ${y × 100}/{x + y}$
Here, x = 144, y = 6
∴ Loss% = ${y × 100}/{x + y}$
= $600/{144 + 6}$
= $600/150$ = 4%
Question : 4
An article is sold at a certain price. If it is sold at half of the previous selling price, then there is a loss of 25$1/2$ % . The profit after selling the article at the previous selling price is:
a) 12$3/4$%
b) 49%
c) 24$1/2$%
d) 51%
Answer »Answer: (b)
Let the C.P. of article be Rs.100 and its S.P. be Rs.x.
According to the question.
When S.P. = Rs.$x/2$
Loss per cent = ${100 - x/2}/100 × 100$
$100 - x/2 = 51/2$
$x/2 = 100 - 51/2 = {200 - 51}/2$
x = Rs.149
Required profit percent = 49%
Question : 5
On selling 17 balls at 720, there is a loss equal to the cost price of 5 balls. The cost price (in ) of a ball is
a) 55
b) 50
c) 60
d) 45
Answer »Answer: (c)
Let C.P. of a ball = x
S.P. of 17 balls = Rs.720
17x - 720 = 5x
12x = 720 ⇒ x = Rs.60
Question : 6
A merchant sold an article for 75 at a profit percent equal to its cost price. The cost price of the article was :
a) 54
b) 50
c) 60
d) 45
Answer »Answer: (b)
Using Rule 3,
Let the cost price of article be Rs.x.
$({100 + x}/100)$ of x = 75
$x^2 + 100x - 7500$ = 0
$x^2 + 150x - 50x - 7500$ = 0
x (x + 150) - 50 (x + 150) = 0
(x - 50) (x + 150) = 0
x = 50 as x can't be negative
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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