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) 3500
(b) 4000
(c) 2500
(d) 3000
The correct answers to the above question in:
Answer: (d)
A : B = 3 : 2 = 9 : 6
B : C = 3 : 2 = 6 : 4
A : B : C = 9 : 6 : 4
${9x}/3 - {4x}/4$= 1000
3x - x = 1000
2x = 1000
x = 500
B’s income = 6x
= 6 × 500 = Rs.3000
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Read more income and expenditure based ratio and proportion Based Quantitative Aptitude Questions and Answers
Question : 1
The income of A and B are in the ratio 2 : 3 and their expenditures are in the ratio 1 : 2. If each saves Rs.24,000, find A’s income.
a) Rs.19,200
b) Rs.48,000
c) Rs.72,000
d) Rs.24,000
Answer »Answer: (b)
Let the income of A and B be Rs.2x and Rs.3x.
and their expenditures be Rs.y and Rs.2y respectively.
2x - y = 24000 ...(i)
and 3x - 2y = 24000 ...(ii)
By equation (i) × 2 - (ii),
4x - 2y - 3x + 2y = 24000
x = 24000
A’s income
= 2 × 24000 = Rs.48000
Question : 2
The ratio of income of P and Q is 3 : 4 and the ratio of their expenditures is 2 : 3. If both of them save Rs.6000, the income of P is
a) Rs.18000
b) Rs.24000
c) Rs.12000
d) Rs.20000
Answer »Answer: (a)
Let the income of P and Q be Rs.3x and Rs.4x respectively.
Again, let their expenditures be Rs.2y and Rs.3y respectively.
According to the question.
3x - 2y = 6000 ...(i)
and 4x - 3y = 6000 ...(ii)
From equations (i) and (ii)
3x - 2y = 4x - 3y
or, 4x - 3x = 3y - 2y
or, x = y
From equation (i),
3x - 2x = 6000
x = 6000
The income of P = Rs.3x
= Rs.(3 × 6000) = Rs.18000
Question : 3
Incomes of A and B are in the ratio 4 : 3 and their annual expenses in the ratio 3 : 2. If each saves Rs.60,000 at the end of the year, the annual income of A is
a) Rs.2,40,000
b) Rs.3,60,000
c) Rs.1,50,000
d) Rs.1,20,000
Answer »Answer: (a)
Let the annual income of A and B be Rs.4x and Rs.3x
and their income be Rs.3y and Rs.2y. respectively.
4x - 3y = 60000 ...(i)
and 3x - 2y = 60000 ...(ii)
Clearly, 4x - 3y = 3x - 2y
x = y
From equation (i),
x = 60000
A’s annual income = 4x
= 4 × 60000 = Rs.240000
Question : 4
The income of A, B and C are in the ratio 3 : 7 : 4 and their expenses in the ratio 4 : 3 : 5. If A saves Rs.300 out of an income of Rs.2,400, the savings of B and C are :
a) Rs.2750 and Rs.1.525
b) Rs.3725 and Rs.1.525
c) Rs.1575 and Rs.2.625
d) Rs.4025 and Rs.575
Answer »Answer: (d)
Let the income of A, B and C be Rs.3x, Rs.7x and Rs.4x respectively
and their expenses be Rs.4y, Rs.3y and Rs.5y respectively.
3x = 2400
x = 800
4y = 2400 - 300 = 2100
y = 525
B’s saving
= (7x - 3y)
= Rs.(7 × 800 - 3 × 525)
= Rs.(5600 - 1575) = Rs.4025
and C’s savings = Rs.(4x - 5y)
= Rs.(3200 - 2625) = Rs.575
Question : 5
The ratio of income of two persons is 5 : 3 and that of their expenditures is 9 : 5. If they save Rs.2600 and Rs.1800 respectively, their incomes are :
a) Rs.10000; Rs.6000
b) Rs.9000; Rs.5400
c) Rs.6000; Rs.3600
d) Rs.8000; Rs.4800
Answer »Answer: (d)
Let the income of two persons be Rs.5x and Rs.3x respectively
and their expenditures be Rs.9y and Rs.5y respectively.
As given,
5x - 9y = 2600 ...(i)
3x - 5y = 1800 ...(ii)
By 5 × (i) - 9 × (ii) we get
25x - 27x = 13000 - 16200
- 2x = - 3200
$x = 3200/2$ = 1600
First person’s income
= Rs.(1600 × 5) = Rs.8000
Second person’s income
= 3x = Rs.(1600 × 3) = Rs.4800
Question : 6
A and B have their monthly incomes in the ratio 8 : 5, while their monthly expenditures are in the ratio 5 : 3. If they have saved Rs.12,000 and Rs.10,000 monthly respectively, then the difference in their monthly incomes is
a) Rs.44,000
b) Rs.46,000
c) Rs.42,000
d) Rs.52,000
Answer »Answer: (c)
A’s monthly income = Rs.8x
A’s monthly expenditure= Rs.5y
B’s monthly income = Rs.5x
B’s monthly expenditure= Rs.3y
According to the question,
8x - 5y = 12000 ...(i)
5x - 3y = 10000 ...(ii)
By equation (i) × 3 - (ii) × 5,
24x | - | 15y | = | 36000 |
25x | - | 15y | = | 50000 |
- | + | - | ||
-x | = | -14000 |
x = 14000
Difference between monthly incomes of
A and B = 8x - 5x
= Rs.3x = Rs.(3 × 14000) = Rs.42000
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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