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 : 1 [SSC CPO S.I.2008]
To gain 10% on selling sample milk at the cost price of pure milk, the quantity of water to be mixed with 50 kg. of pure milk is
a) 2.5 Kg.
b) 7.5 Kg.
c) 10 Kg.
d) 5 Kg.
Answer »Answer: (d)
Let the quantity of water mixed be x kg.
Let the CP of 1 kg of pure milk = Rs.1
Gain percent=$x/50 × 100$
2x = 10 ⇒ x = 5 kg.
Question : 2 [SSC MTS 2013]
A man sells a car to his friend at 10% loss. If the friend sells it for Rs.54,000 and gains 20%, the original cost price of the car was
a) Rs.25,000
b) Rs.45,000
c) Rs.50,000
d) Rs.35,000
Answer »Answer: (c)
If the initial C.P. of car be Rs. x, then
First S.P. = ${9x}/10$
${9x}/10 × 120/100$ = 54000
x = ${54000 × 1000}/{9 × 120}$ = Rs.50000
Question : 3 [SSC CGL Tier-II 2013]
Sourav purchased 30 kg of rice at the rate of Rs.10 per kg and 35 kg at the rate of Rs.11 per kg. He mixed the two. At what price per kg (in Rs.) should he sell the mixture to make a 30% profit in the transaction ?
a) 12.5
b) 13.7
c) 14.25
d) 13
Answer »Answer: (b)
Total cost of rice
= Rs.(3 × 10 + 35 × 11)
= Rs.(300 + 385) = Rs.685
Required S.P. = Rs. $({685 × 130}/100)$
Rate per kg = ${685 × 130}/{65 × 100}$ = Rs.13.7
Question : 4 [SSC CGL Prelim 2004]
By selling an article for Rs.69, there is a loss of 8%, when the article is sold for Rs.78, the gain or loss per cent is :
a) neither loss nor gain
b) 4% loss
c) 40% gain
d) 4% gain
Answer »Answer: (d)
SP of article = Rs.69
Loss % = 8%
CP = Rs.${100 × 69}/92$ = Rs.75
New SP = Rs.78
Gain % = ${78 - 75}/75$ × 100 = 4%
Using Rule 3,
C.P. = S.P. × $100/{100 - Loss%}$
= ${69 × 100}/{100 - 8}$
= $6900/92$ = Rs. 75
New S.P.= C.P.$({100 + Profit%}/100)$
78 = 75 × $({100 + Profit%}/100)$
7800 = 7500 + 75 Profit%
${7800 - 7500}/75$ = Profit %
$300/75$ = Profit%
Profit% = 4%
Question : 5 [SSC CGL Prelim 2002]
By selling an article for Rs.72, there is a loss of 10%. In order to gain 5%, its selling price should be :
a) Rs.87
b) Rs.80
c) Rs.84
d) Rs.85
Answer »Answer: (c)
C.P. of that article
= $72 × 100/{100 - 10} = {72 × 100}/90$ = Rs.80
S.P. of that article on 5% gain
= $80 × 105/100$ = Rs.84
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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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