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 199+ Profit & Loss Aptitude MCQs with Basic C.P & S.P »
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249+ Profit & Loss Aptitude MCQs Gain Lost % with C.P S.P »
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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 »
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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) 54
(b) 50
(c) 60
(d) 45
The correct answers to the above question in:
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
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Read more gain loss with cp sp Based Quantitative Aptitude Questions and Answers
Question : 1
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 : 2
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 : 3
A clock was sold for 144. If the percentage of profit was numerically equal to the cost price, the cost of the clock was
a) 90
b) 80
c) 100
d) 72
Answer »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]
Question : 4
Profit after selling a commodity for 524 is the same as loss after selling it for 452. The cost price of the commodity is
a) 488
b) 500
c) 485
d) 480
Answer »Answer: (a)
Let the cost price of the commodity = Rs.x
According to the question,
524 - x = x - 452
or 2x = 524 + 452
or 2x = 976 or $x =976/2 = 488$
∴ The required price = Rs.488
Question : 5
Last year Mr. A bought two paintings. This year he sold them for Rs. 20,000 each. On one, he made a 25% profit and on the other he had a 25% loss. Then his net profit or loss is
a) He earned more than Rs. 2000
b) He lost less than Rs. 2000
c) He earned less than Rs. 2000
d) He lost more than Rs. 2000
Answer »Answer: (d)
C.P. of first painting
= ${20000 × 100}/125$ = Rs.16000
C.P. of second painting
= ${20000 × 100}/75$ = Rs.26666.7
Loss = Rs.(16000 + 26666.7 - 40000)
= Rs.2666.7
Question : 6
A man sold 250 chairs and had a gain equal to selling price of 50 chairs. His profit per cent is :
a) 50%
b) 25%
c) 15%
d) 20%
Answer »Answer: (b)
S.P. of 250 chairs - C.P. of 250 chairs
= S.P. of 50 chairs
S.P. of 200 chairs = C.P. of 250 chairs
profit%= ${250 - 200}/200 × 100 = 25%$
Using Rule 9,
Here, x = 250, y = 50
∴ Profit% = ${y × 100}/{x - y}$
= ${50 × 100}/{250 - 50} = 50/2$ = 25%
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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