model 9 selling an article & interchanging its values 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 : 21 [SSC CGL Tier-I 2016]
The selling price of an article is $8/5$th of its cost price. Then the gain percentage is
a) 20%
b) 60%
c) 68%
d) 28%
Answer »Answer: (b)
C.P. of article = Rs.x
Its S.P. = Rs.${8x}/5$
Profit = ${8x}/5 - x$
= ${8x - 5x}/5$ = Rs.${3x}/5$
Profit per cent = ${{3x}/5}/x × 100$
= $3/5$ × 100 = 60%
Question : 22 [SSC Constable 2013]
By selling 90 ball pens for Rs.160 a person loses 20%. The number of ball pens, which should be sold for Rs.96 so as to have a profit of 20% is
a) 36
b) 46
c) 47
d) 37
Answer »Answer: (a)
Using Rule 3,
C.P. of 90 ball pens
= $100/80$ × 160 = Rs.200
S.P. for a gain of 20%
= ${200 × 120}/100$ = Rs.240
Since, Rs.240 = 90 ball pens
Rs.96 = $90/240$ × 96 = 36
Question : 23 [SSC CGL Prelim 2005]
By selling a plot of land for Rs.45,000 a person loses 10%. At what price should he sell it to gain 15%?
a) Rs.50,000
b) Rs.57,500
c) Rs.60,000
d) Rs.55,000
Answer »Answer: (b)
Using Rule 3,
C.P. = $100/{100 - Loss%}$ × S.P.
= $100/90$ × 45000 = Rs.50000
S.P. = 115% of Rs.50000
= Rs.${50000 × 115}/100$ = Rs.57,500
Question : 24 [SSC CGL Prelim 2002]
On selling an article for Rs.105 a trader loses 9%. To gain 30% he should sell the article at
a) Rs.126
b) Rs.150
c) Rs.139
d) Rs.144
Answer »Answer: (b)
Simple Approach
Let C.P. = 100x
(100 - 9)x = 105
(100 + 30)% x = $105/91$ × 130 = Rs.150
Using Rule 3,
C.P. = 105 × $(100/{100 - 9}) = {105 × 100}/91$
C.P. = $1500/13$
New S.P.= $1500/13 × ({100 + 30}/100)$ =15 × 10 = Rs.150
Question : 25 [SSC MTS 2013]
A radio dealer sold a radio at a loss of 2.5%. Had he sold it for Rs.100 more, he would have gained 7$1/2$% . In order to gain 12$1/2$% , he should sell it for
a) Rs.1080
b) Rs.850
c) Rs.925
d) Rs.1125
Answer »Answer: (d)
If C.P. of radio be Rs.x, then 10% of x = 100
x = 1000
For a gain of 12$1/2$%
S.P. = 1000 × $({100 + {25/2}})/100$
= ${1000 × 225}/200$ = Rs.1125
Using Rule 11,A man sells his items at a profit/loss of x%.If he had sold it for Rs. R more,he would have gained/lost y%. Then. C.P. of items = $R/{(y ± x)}$ × 100'+' = When one is profit and other is loss.'–' = When both are either profit or loss.
Here, x = 2.5%, R = 100, y = 7$1/2$%
C.P. = $R/{y + x}$ × 100
= ${100 × 100}/{2.5 + 7.5}$ = Rs.1000
Now New S.P. = C.P. × $({100 + Profit%}/100)$
= $1000({100 + 12.5}/100)$
= 10 × 112.5 = Rs.1125
IMPORTANT quantitative aptitude EXERCISES
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New 199+ Profit & Loss Aptitude MCQs with Basic C.P & S.P »
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Top 179+ Profit & Loss Aptitude Practice Test for Bank Exam »
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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 »
model 9 selling an article & interchanging its values Shortcuts »
Click to Read...model 9 selling an article & interchanging its values 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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