model 3 gain/loss % with C.P/S.P Practice Questions Answers Test with Solutions & More Shortcuts
profit & loss PRACTICE TEST [11 - 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
Question : 11 [SSC CGL Prelim 2007]
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 : 12 [SSC CHSL 2013]
A vendor loses the selling price of 4 oranges on selling 36 oranges. His loss per cent is
a) 10%
b) 9%
c) 11$1/2$%
d) 12$1/2$%
Answer »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%
Question : 13 [SSC CGL Tier-I 2016]
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 : 14 [SSC Constable 2012]
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 : 15 [SSC CPO S.I.2008]
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
IMPORTANT quantitative aptitude EXERCISES
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New 249+ Profit and Loss Questions and Answers for TNPSC »
model 3 gain/loss % with C.P/S.P Shortcuts »
Click to Read...model 3 gain/loss % with C.P/S.P Online Quiz
Click to Start..profit & loss Shortcuts and Techniques with Examples
-
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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