Model 1 Basic Concepts of C.P and 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) Rs.91,000
(b) Rs.88,300
(c) Rs.85,659
(d) Rs.97,786
The correct answers to the above question in:
Answer: (a)
Using Rule 1,
Cost price = ${791000 × 100}/113$ = Rs.700000
Gain = 791000 - 700000 = Rs.91000
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Read more basic cp and sp Based Quantitative Aptitude Questions and Answers
Question : 1
A man buys a cycle for Rs.1400 and sells it at a loss of 15%. What is the selling price of the cycle?
a) Rs.1160
b) Rs.1190
c) Rs.1202
d) Rs.1000
Answer »Answer: (b)
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$[100/{100 - \text"Loss%"}]$
Selling price = $1400 × {100 - 15}/100$
= $1400 × 85/100$ = Rs.1190
Question : 2
There is a profit of 20% on the cost price of an article. The % of profit, when calculated on selling price is
a) 33$1/3$%
b) 20%
c) 16$2/3$%
d) None of these
Answer »Answer: (c)
C.P. of article = Rs.x
S.P. = ${120x}/100$ = Rs.${6x}/5$
Gain = ${6x}/5 - x = {6x - 5x}/5$ = Rs.$x/5$
Gain per cent = $\text"Gain"/ \text"S.P."$ × 100
= ${x/5}/{{6x}/5} × 100 = 50/3 = 16{2}/3%$
Question : 3
On selling an article for Rs.651, there is a loss of 7%. The cost price of that article is
a) Rs.793
b) Rs.751
c) Rs.744
d) Rs.700
Answer »Answer: (d)
Let the C.P. of article be 'x '
Since, (100 - 7)% x = 651
Since, x = $651/93 × 100$ = Rs.700
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$[100/{100 - \text"Loss%"}]$
= $651(100/{100 - 7}) = {651 × 100}/93$
C.P. = Rs.700
Question : 4
An item when sold for Rs.1,690 earned 30% profit on the cost price. Then the cost price is
a) Rs.1,300
b) Rs.630
c) Rs.507
d) Rs.130
Answer »Answer: (a)
Using Rule 3,
If the C.P. be x, then
${x × 130}/100 = 1690$
$x = {1690 × 100}/130$ = Rs.1300
Question : 5
A retailer buys a radio for Rs.225. His overhead expenses are Rs.15. He sells the radio for Rs.300. The profit per cent of the retailer is :
a) 20%
b) 26$2/3$%
c) 25%
d) 33$1/3$%
Answer »Answer: (c)
Using Rule 1,
Actual C.P. = 225 + 15 = Rs.240
Gain = 300 - 240 = Rs.60
Gain per cent = $60/240 × 100 = 25%$
Question : 6
By selling an article, a man makes a profit of 25% of its selling price. His profit per cent is
a) 16$2/3$%
b) 25%
c) 20%
d) 33$1/3$%
Answer »Answer: (d)
Using Rule 1,
If S.P > C.P. then there will be profit
Profit = S.P. - C.P.
Profit% = ${\text"Profit" × 100}/{\text"C.P."}$
If the S.P. of article be x, then its
CP = $x - x/4$ = Rs.${3x}/4$
Gain % = ${x/4}/{{3x}/4} × 100$
= $100/3 = 33{1}/3$%
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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