type 4 income & expenditure based ratio & proportion problems Section-Wise Topic Notes With Detailed Explanation And Example Questions
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The following question based on ratio & proportion topic of quantitative aptitude
(a) Rs.1720
(b) Rs.7200
(c) Rs.2700
(d) Rs.3400
The correct answers to the above question in:
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
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Read more income and expenditure based ratio and proportion Based Quantitative Aptitude Questions and Answers
Question : 1
A man spends a part of his monthly income and saves a part of it. The ratio of his expenditure to his saving is 26 : 3. If his monthly income is Rs.7250, what is the amount of his monthly savings ?
a) Rs.750
b) Rs.780
c) Rs.290
d) Rs.350
Answer »Answer: (a)
Let his expenditures be Rs.26x
and savings be Rs.3x.
26x + 3x = 7250
29x = 7250
$x = 7250/29$ =250
Savings = 3x = Rs.750
Question : 2
The monthly salaries of A, B and C are in the ratio 2 : 3 : 5. If C’s monthly salary is Rs.12,000 more than that of A, then B’s annual salary is
a) Rs.1,80,000
b) Rs.2,40,000
c) Rs.1,44,000
d) Rs.1,20,000
Answer »Answer: (c)
Let the monthly salary of A, B & C be 2x, 3x and 5x
now, 5x - 2x = 12,000
3x = 12000 or x = 4000
Monthly salary of B
= 3 × 4000 = 12,000
Annual salary of B
= 12000 × 12 = Rs.144000
Question : 3
The ratio of income and expenditure of a person is 11 : 10. If he saves Rs.9,000 per annum, his monthly income is
a) Rs.8,500
b) Rs.8,250
c) Rs.8,800
d) Rs.8,000
Answer »Answer: (b)
Let the income of man be = Rs.11x
and his expenditure be Rs.10x.
Savings = x = Rs.9000
Monthly income of man
= ${11 × 9000}/12$ = Rs.8250
Question : 4
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 : 5
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 : 6
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
GET ratio & proportion PRACTICE TEST 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
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