type 4 income & expenditure based ratio & proportion problems Practice Questions Answers Test with Solutions & More Shortcuts
ratio & proportion PRACTICE TEST [9 - EXERCISES]
type 1 basic concepts of ratio & proportion
type 2 age based ratio & proportion problems
type 3 addition subtraction product on ratio & proportion
type 4 income & expenditure based ratio & proportion problems
type 5 shares & partnership based ratio & proportion problems
type 6 fractions based ratio & proportion problems
type 7 finding sum difference product based ratio & proportion problems
type 8 alligation & mixtures based ratio & proportion problems
type 9 coins & rupees based ratio & proportion problems
Question : 6 [SSC MTS 2011]
Ratio between the monthly incomes of A and B is 9 : 8 and the ratio between their expenditures is 8 : 7. If they save Rs.500 each, find A’s monthly income.
a) Rs.4,500
b) Rs.5,000
c) Rs.4,000
d) Rs.3,500
Answer »Answer: (a)
If the ratio of the income of A and B be a : b
and that of their expenses be c : d and each saves x, then,
A’s income = ${ax(d - c)}/{ad - bc}$
= ${9 × 500(7 - 8)}/{9 × 7 - 8 × 8}$
= 9 × 500 = 4500
Question : 7 [SSC CGL Prelim 2002]
The ratio of income of two persons is 5 : 3 and that of their expenditures is 9 : 5. Find the income of each person, if they save Rs.1,300 and Rs.900 respectively.
a) Rs.5,000, Rs.3,000
b) Rs.4,500 Rs.2,700
c) Rs.3,000, Rs.1,800
d) Rs.4,000, Rs.2,400
Answer »Answer: (d)
Let income of two persons be 5x and 3x.
and their expenses be 9y and 5y respectively.
Then, 5x - 9y = 1300 ...(i)
and 3x - 5y = 900 ...(ii)
By 9 × (ii) - 5 × (i), we get
27x | - | 45y | = | 8100 |
25x | - | 45y | = | 6500 |
- | + | - | ||
2x | = | 1600 |
x = 800
Now, income of first person
= 5x = 5 × 800 = Rs.4000
and that of second person
= 3x = 3 × 800 = Rs.2400
Question : 8 [SSC CGL Prelim 2007]
The ratio of incomes of A and B is 5 : 6. If A gets Rs.1,100 less than B, their total income (in rupees) is
a) 14,400
b) 10,000
c) 12,100
d) 9,900
Answer »Answer: (c)
Let the income of A be Rs.5x
and that of B be Rs.6x.
According to the question,
6x - 5x =1100
x = 1100
Total income
= 5x + 6x = Rs.11x
= Rs.(11×1100) = Rs.12100
Question : 9 [SSC CGL Tier-1 2011]
The ratio of weekly income of A and B is 9 : 7 and the ratio of their expenditures is 4 : 3. If each saves Rs.200 per week, then the sum of their weekly income is
a) Rs.4,800
b) Rs.5,600
c) Rs.3,200
d) Rs.3,600
Answer »Answer: (c)
Let A’s and B’s weekly income be Rs.9x and Rs.7x
and their expenditures be Rs.4y and Rs.3y respectively.
Then, 9x - 4y = 200 ...(i)
and 7x - 3y = 200 ...(ii)
9x - 4y = 7x - 3y
9x - 7x = 4y - 3y
2x = y ...(iii)
From equation (i),
9x - 4y = 200
9x - 8x = 200
x = 200
Sum of their weekly income
= 16x = 16 × 200 = Rs.3200
Question : 10 [SSC CGL Prelim 2002]
A and B have monthly incomes in the ratio 5 : 6 and monthly expenditures in the ratio 3 : 4. If they save Rs.1800 and Rs.1600 respectively, find the monthly income of B :
a) Rs.1720
b) Rs.7200
c) Rs.2700
d) Rs.3400
Answer »Answer: (b)
Given
$\text”Monthly income of A”/ \text”Monthly income of B” = 5/6$
Monthly income of A = 5x
and that of B = 6x (x is a constant)
According to the question
${5x - 1800}/{6x - 1600} =3/4$
20x - 7200 = 18x - 4800
2x = 2400 ⇒ x = 1200
Monthly income of B
= 1200 × 6 = Rs.7200
IMPORTANT quantitative aptitude EXERCISES
-
199+ Ratio Proportion Basic Concepts MCQ Questions Answers »
-
Top 199+ Ratio Proportion Age Based MCQ Questions Answers »
-
159+ Ratios Proportions Addition Subtraction product MCQ »
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199+ Ratio Proportion Income, Expenditure Problems MCQS »
-
199+ Partnership Aptitude (Ratio) MCQ Questions Answers »
-
259+ Ratio and Proportion (fractions) Aptitude MCQ Quiz »
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199+ Ratio and Proportion Aptitude Questions Answers MCQ »
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299+ Alligation and Mixture Problems Aptitude MCQ Quiz »
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249+ Ratio and Proportion Coins Based Questions Answers »
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