model 6 sold in circular path 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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189+ Profit and Loss Questions for All Competitive Exams »
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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) Rs.200
(b) Rs.234
(c) Rs.225
(d) Rs.220
The correct answers to the above question in:
Answer: (a)
Let the C.P. of A be Rs.x, then
$x × 110/100 × 120/100 = 264$
$x = {264 × 100 × 100}/{110 × 120}$ = Rs.200
Using Rule 15,
Here, $r_1 = 10%, r_2$ = 20%
C.P. for C = C.P. for A
$(1 + r_1/100)(1 + r_2/100)$
264 = C.P. for A
$(1 + 10/100)(1 + 20/100)$
C.P. for A = ${264 × 100 × 100}/{110 × 120}$ = Rs.200
Discuss Form
Read more sold at circular path Based Quantitative Aptitude Questions and Answers
Question : 1
A man purchased an article and sold it to B at a profit of 25% and B sold it to C at a loss of 10% and C paid Rs.675 for it. For how much did A purchase it (in Rs.) ?
a) 625
b) 550
c) 600
d) 575
Answer »Answer: (c)
Let the C.P. of A be Rs.x, then
${x × 125}/100 × 90/100$ = 675
$x = {675 × 100 × 100}/{125 × 90}$ = Rs.600
Using Rule 15,
Here, $r_1 = 25%, r_2$ = 10%, (Loss)
C.P. for C = C.P. for A
$(1 + r_1/100)(1 + r_2/100)$
675 = C.P. for A
$(1 + 25/100)(1 + 10/100)$
C.P. for A = ${675 × 100 × 100}/{125 × 90}$ = Rs.600
Question : 2
A sells a cycle to B at a profit of 5% and B sells it to C at a profit of 10%. If C pays Rs.2310 for it, the cost price of A is
a) Rs.2000
b) Rs.2010
c) Rs.1900
d) Rs.2100
Answer »Answer: (a)
Let the C.P. for A be Rs.x, then
$x × 105/100 × 110/100$ = 2310
$x = {2310 × 100 × 100}/{105 × 110}$ = Rs.2000
Using Rule 15,
Here, $r_1 = 5%, r_2$ = 10%
C.P. for C = C.P. for A
$(1 + r_1/100)(1 + r_2/100)$
2310 = C.P. for A
$(1 + 5/100)(1 + 10/100)$
C.P. for A = ${2310 × 100 × 100}/{105 × 110}$ = 2000
Question : 3
A sells a bicycle to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays Rs.225/- for it, the cost price of the bicycle for A is :
a) Rs.110
b) Rs.150
c) Rs.120
d) Rs.125
Answer »Answer: (b)
Let the cost price of the bicycle for A be Rs.x
Cost price for B = selling price for A = 1.20x
Cost price for C = selling price for B = (1.25) (1.20x) = 1.5x
But 1.5x = 225 ⇒ x = $225/1.5$ = Rs.150
The cost price of the bicycle for A = Rs.150
Using Rule 15,If A sells an article to B at a profit (loss) of $r_1$% and B sells the same article to C at a profit (loss) of $r_2$% then the cost price of article for C will be given byC.P of article for C= C.P. of A × $({1 ± r_1}/100)({1 ± r_2}/100)$(Positive and negative sign conventions are used for profit and loss.)
Here, $r_1= 20%, r_2$ = 25%
C.P. for C = C.P. for A
$(1 + r_1/100)(1 + r_2/100)$
225 = C.P. for A
$(1 + 20/100)(1 + 25/100)$
C.P. for A = ${225 × 100 × 100}/{120 × 125}$ = Rs.150
Question : 4
A piece of land came to a person through three middleman each gaining 20%. If the person purchased the land for Rs.3,45,600 the original cost of the land was
a) Rs.1,00,000
b) Rs.2,00,000
c) Rs.1,75,800
d) Rs.1,50,000
Answer »Answer: (b)
Let the original cost of the land be Rs.x
According to the question,
345600 = P$(1+ 20/100)^3$
345600 = P$(6/5)^3 = {216P}/125$
P = ${345600 × 125}/216$ = Rs.200000
Question : 5
A car worth Rs.1,50,000 was sold by X to Y at 5% profit. Y sold the car back to X at 2% loss. In the entire transaction
a) X gained Rs.4,350
b) X lost Rs.3,150
c) X gained Rs.3,150
d) Y lost Rs.4,350
Answer »Answer: (c)
SP for Mr. X = 150000 × $105/100$ = Rs.157500
CP for Mr. Y = Rs.157500
Y sells the article to X at a loss of 2%.
SP for Mr. Y = 157500 × $98/100$ = Rs.154350
CP for Mr. X = Rs.154350
Gain of Mr. X = Rs.(157500 - 154350) = Rs.3150
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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