model 7 sold at loss Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 11 EXERCISES
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New 199+ Profit & Loss Aptitude MCQs with Basic C.P & S.P »
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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 »
The following question based on profit & loss topic of quantitative aptitude
(a) 30%
(b) 12%
(c) 28%
(d) 16%
The correct answers to the above question in:
Answer: (c)
C.P. of 1 article
= $1/4 × 100/96$ = Rs.$25/96$
C.P. of 3 articles = Rs.$75/96$
Gain = 1 - $75/96$
=${96 - 75}/96 = 21/96 = 7/32$
Gain per cent = ${7/32}/{75/96}$ × 100
= $7/32 × 96/75 × 100$ = 28%
Discuss Form
Read more sold at loss Based Quantitative Aptitude Questions and Answers
Question : 1
A man sold an article at a loss of 20%. If he had sold it for Rs.50 more, he would have gained 5%. The cost price of the article was
a) Rs.250
b) Rs.200
c) Rs.300
d) Rs.180
Answer »Answer: (b)
Let the CP of the article be Rs.x
SP of the article at 20% loss
= $x × 80/100 = {4x}/5$
In second case,
${4x}/5 + 50 = {105x}/100$
${4x}/5 + 50 = {21x}/20$
${21x}/20 - {4x}/5 = 50$
${21x - 16x}/20 = 50$
${5x}/20$ = 50 ⇒ x = Rs.200
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 = 20%, R= 50, y = 5%
C.P. = ${R × 100}/{y + x}$
= ${50 × 100}/{20 + 5}$
$= {50 × 100}/25$ = Rs.200
Question : 2
An article was sold at 16% gain. Had it been sold for Rs.200 more, the gain would have been 20%. Then the cost price of the article is:
a) Rs.5000
b) Rs.5200
c) Rs.4800
d) Rs.4500
Answer »Answer: (a)
If the C.P. of article be Rs.x, then
$x × 116/100 + 200 = {x × 120}/100$
$x × 4/100$ = 200
$x = {200 × 100}/4$ = Rs.5000
Using Rule 11,
Here, x = 16%, R= 200, y = 20%
C.P. = ${R × 100}/{y - x}$
= ${200 × 100}/{20 - 16}$ = Rs.5000
Question : 3
A T.V was sold at a profit of 5%. If it had been sold at a profit of 10%, the profit would have been Rs.1000 more. What is its cost price ?
a) Rs.20000
b) Rs.15000
c) Rs.5000
d) Rs.10000
Answer »Answer: (a)
Let the C.P. of television be Rs.x.
According to the question,
(10 - 5)% of x = 1000
x × $5/100$ = 1000
$x = {1000 × 100}/5$ = Rs.20000
Question : 4
If an article is sold at 5% gain instead of 5% loss, the man gains Rs.5 more. Find the cost price of that article
a) Rs.100
b) Rs.110
c) Rs.105
d) Rs.50
Answer »Answer: (d)
Let the C.P. be Rs.x
x (5% + 5%) = 5 [Being 5% gain]
100% = $5/10 × 100$ = Rs.50
Using Rule 11,
Here, x = 5%, R= Rs.5, y = 5%
C.P. = ${R × 100}/{y + x}$
= ${5 × 100}/{5 + 5}$ = Rs.50
Question : 5
A sells a cycle to B at a profit of 20% and B sells it to C at a loss of 25%. If C bought the cycle for Rs.P, then the cost price of it for A was
a) Rs.$1/20$P
b) Rs.$10/9$P
c) Rs.$9/10$P
d) Rs.$9/20$P
Answer »Answer: (b)
C.P. for A = Rs. x (let)
According to the question,
${x × 120}/100 × 75/100$ = P
$x = {P × 100 × 100}/{120 × 75}$ = Rs.$10/9$
Using Rule 15,
Here, $ r_1 = 20%, r_2$ = 25% (Loss)
C.P. for C = C.P. for A
$({1 + r_1}/100)({1 - r_2}/100)$
P = C.P. for A
$(1 + 20/100)(1 - 25/100)$
C.P. for A = ${P × 100 × 100}/{120 × 75} = {10P}/9$
Question : 6
By selling 12 kg of potatoes for Rs.63, a shopkeeper gains 5%. What does he gain or lose percent by selling 50 kg of the same potatoes for Rs.247.50?
a) 1% loss
b) 1% profit
c) No profit, no loss
d) 2.5% loss
Answer »Answer: (a)
C.P. of 12 kg of potatoes
= Rs.$({63 × 100}/105)$ = Rs.60
C.P. of 50 kg of potatoes
= $60/12$ × 50 = Rs.250
Loss = Rs.(250 - 247.50) = Rs.2.5
Loss percent = ${2.5}/250 × 100$ = 1%
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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