model 11 ratio & partnership 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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Top 250+ Profit & Loss Problems with Gain Lost Percentage »
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249+ Profit & Loss Aptitude MCQs Gain Lost % with C.P S.P »
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189+ Profit Loss Aptitude Sold Bought Practice MCQ Test »
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Top 179+ Profit & Loss Aptitude Practice Test for Bank Exam »
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New 189+ Profit and Loss Aptitude MCQs for All Govt Exams »
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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 »
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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) 1 : 2
(b) 2 : 1
(c) 4 :1
(d) 1 : 4
The correct answers to the above question in:
Answer: (d)
Let x kg of sugar costing Rs.20/ kg and y kg of sugar costing Rs.15/kg are mixed.
According to the question,
20x + 15y = 16 (x + y)
20x + 15y = 16x + 16y
20x - 16x = 16y - 15y
4x = y ∴ $x/y = 1/4$ or 1 : 4
Method 2 :
By the rule of alligation,
∴ Required ratio = 1 : 4
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Read more ratio partnership Based Quantitative Aptitude Questions and Answers
Question : 1
The ratio of cost price and selling price is 5 : 4, the loss per cent is :
a) 25%
b) 20%
c) 40%
d) 50%
Answer »Answer: (b)
According to the question
$\text"Cost price"/ \text"Selling price" = 5/4$
Selling price = $4/5$ × Cost price
Loss = Cost price - Selling price
= Cost price - $4/5$ Cost price = $1/5$ Cost price
Loss % = ${{1/5}\text"Cost price" × 100}/\text"Cost price" = 100/5 = 20%$
Method 2 : Simple Approach
Rs.1 is loss on Rs.5.
loss % = $1/5$ × 100 = 20%
Using Rule 2
If C.P > S.P., then there will be Loss
Loss = C.P. - S.P., Loss% = ${Loss × 100}/{C.P.}$
Here, C.P. = 5x, S.P. = 4x
Loss% = $\text"Loss"/ \text"C.P."$ × 100
= ${5x - 4x}/{5x}$ × 100 = 20%
Question : 2
A, B and C rent a pasture. A puts in 10 oxen for 7 months, B 12 oxen for 5 months and C 15 oxen for 3 months for grazing. If the rent of the pasture is Rs.175/-, how much must C pay as his share of rent?
a) Rs.50/-
b) Rs.45/-
c) Rs.55/-
d) Rs.60/-
Answer »Answer: (b)
Share of rent = (number of oxen × time)
A : B : C = (10 × 7) : (12 × 5) : (15 × 30)
A : B : C = 70 : 60 : 45
A : B : C = 14 : 12 : 9
C’s share of rent = $9/{14 + 12 + 9} × 175$
= $9/35 × 175$ = 45
C’s share of rent is Rs.45
Question : 3
A, B and C are partners of a company. During a particular year A received one-third of the profit, B received one-fourth of the profit and C received the remaining Rs.5,000. How much did A receive?
a) Rs.4,000
b) Rs.5,000
c) Rs.3,000
d) Rs.1,000
Answer »Answer: (a)
Let the profit be x
According to question,
$(1 - 1/3 - 1/4)x$ = Rs.5000
or $({12 - 4 - 3}/12)x$ = Rs.5000
$5/12x$ = Rs.5000
x = ${5000 × 12}/5$
= $1/3 = {5000 × 12}/{5 × 3}$ = Rs.4000
Question : 4
A invests Rs.64,000 in a business. After few months B joined him with Rs.48,000. At the end of year, the total profit was divided between them in the ratio 2 : 1. After how many months did B join?
a) 4
b) 8
c) 6
d) 7
Answer »Answer: (a)
B entered after x months.
Ratio of equivalent capitals for 1 month
= 64000 × 12 : 48000 (12 - x)
= 16 : (12 - x)
$16/{12 - x} =2/1$ ⇒ 24 - 2x = 16
2x = 8 ⇒ x = 4 months
Question : 5
A started a business with a capital of Rs.1,00,000. One year later, B joined him with a capital of Rs.2,00,000. At the end of 3 years from the start of the business, the profit earned was 84,000. The share of B in the profit exceeded the share of A by
a) Rs.12,000
b) Rs.10,000
c) Rs.14,000
d) Rs.15,000
Answer »Answer: (a)
Ratio of equivalent capitals of A and B for 1 month
= 100000 × 36 : 200000 × 24
= 36 : 48 = 3 : 4
Part of profit gained by A = $3/7$
Part of profit gained by B = $4/7$
Required difference
$(4/7 - 3/7) × 84000$ = Rs.12000
Question : 6
A milkman makes 20% profit by selling milk mixed with water at Rs.9 per litre. If the cost price of 1 litre pure milk is Rs.10, then the ratio of milk and water in the said mixture is
a) 4 : 1
b) 3 : 1
c) 3 : 2
d) 4 : 3
Answer »Answer: (b)
Let Milk : Water = K : 1
S.P. = (K + 1) × 9
C.P. = 10K; Gain = 9 - K
Gain % = ${9 - K}/{10K} × 100$
${9 - K}/{10K} × 100$ = 20
90 - 10K = 20K
30K = 90 ⇒ K = 3
Ratio = 3 : 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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