model 11 ratio & partnership 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 : 16 [SSC CGL Prelim 2008]
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 : 17 [SSC CHSL 2013]
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 : 18 [SSC DEO 2008]
The ratio of the quantities of sugar, in which sugar costing Rs.20 per kg. and Rs.15 per kg. should be mixed so that there will be neither loss nor gain on selling the mixed sugar at the rate of Rs.16 per kg, is
a) 1 : 2
b) 2 : 1
c) 4 :1
d) 1 : 4
Answer »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
Question : 19 [SSC CGL Prelim 2002]
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 : 20 [SSC CGL Prelim 2000]
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
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New 249+ Profit and Loss Questions and Answers for TNPSC »
model 11 ratio & partnership Shortcuts »
Click to Read...model 11 ratio & partnership 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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