model 3 gain/loss % with C.P/S.P 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) 10%
(b) 9%
(c) 11$1/2$%
(d) 12$1/2$%
The correct answers to the above question in:
Answer: (a)
S.P. of 36 oranges
= C.P. of 36 oranges - S.P. of 4 oranges
S.P. of 40 oranges = C.P. of 36 oranges
Loss per cent = $4/40 × 100 = 10%$
Using Rule 9,
Here, x = 36, y = 4
Here, loss % = ${y × 100}/{x + y}$
= ${4 × 100}/{36 + 4}$ = 10%
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Read more gain loss with cp sp Based Quantitative Aptitude Questions and Answers
Question : 1
If the cost price of 28 articles is equal to the sale price of 21 articles, then the percentage of profit is :
a) 20%
b) 33$1/3$%
c) 22%
d) 12%
Answer »Answer: (b)
Let the C.P. of each article be Re. 1.
C.P. of 21 articles = Rs. 21
S.P. of 21 articles = Rs. 28
∴ Profit per cent = ${28 - 21}/21 × 100$
= $100/3 = 33{1}/3%$
Question : 2
If the profit on selling an article for 425 is the same as the loss on selling it for 355, then the cost price of the article is
a) 390
b) 380
c) 400
d) 370
Answer »Answer: (a)
Let the C.P. of article be x,
then, 425 - x = x - 355
2x = 425 + 355 = 780
x = $780/2$ = Rs.390
Question : 3
If the profit per cent got on selling an article is numerically equal to its cost price in rupees and the selling price is 39, then cost price (in ) will be
a) 28
b) 22
c) 30
d) 20
Answer »Answer: (c)
Using Rule 3,If an object is sold on r% Profit.
then,S.P. = C.P$[{100 + \text"Profit%"}/100]$orC.P. = S.P$[100/{100 + \text"Profit%"}]$
Similarly, If an object is sold on r% loss, then
S.P. = C.P.$[{100 - \text"Loss%"}/100]$orC.P. = S.P$[100/{100 - \text"Loss%"}]$
Let the CP of the article be x Gain % = x%
${39 - x}/x × 100$
$3900 - 100x = x^2$
$x^2 + 100x - 3900$ = 0
$x^2 + 130x - 30x - 3900$ = 0
x (x + 130) - 30 (x + 130) = 0
(x - 30) (x + 130) = 0
x = 30 as x cannot be negative
Question : 4
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 : 5
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 : 6
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%
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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