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.10000
(b) Rs.5000
(c) Rs.15000
(d) Nil
The correct answers to the above question in:
Answer: (b)
Income in the second year
= Rs.45000
Income in the first year
= Rs.30000
Expense in the first year
= Rs.25000
Expense in the second year
= Rs.45000
Total saving
= 75000 - 70000 = Rs.5000
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Read more income and expenditure based ratio and proportion Based Quantitative Aptitude Questions and Answers
Question : 1
A person bought some rice and wheat for Rs.380. The ratio of weight of rice and wheat is 4 : 3 and the price of equal amount of rice and wheat is in the ratio 5 : 6. The rice was bought of worth
a) Rs.200
b) Rs.180
c) Rs.300
d) Rs.380
Answer »Answer: (a)
Rice : Wheat
= 4 × 5 : 3 × 6
= 20 : 18 = 10 : 9
Total cost of rice
= $10/19 × 380$ = Rs.200
Question : 2
If the annual income of A, B and C are in the ratio 1 : 3 : 7 and the total annual income of A and C is Rs.8,00,000, then the monthly salary of B (in Rs.) is
a) 30,000
b) 15,000
c) 25,000
d) 20,000
Answer »Answer: (c)
Let Annual Income of A, B and C be x, 3x and 7x
x + 7x = 800000
8x = 800000
x = 100000
B’s monthly income
= ${100000 × 3}/12$ = Rs.25000
Question : 3
Annual incomes of Amit and Veeri are in the ratio 3:2, while the ratio of their expenditure is 5 : 3. If at the end of the year each saves Rs.1,000, the annual income of Amit is
a) Rs.7,000
b) Rs.6,000
c) Rs.8,000
d) Rs.9,000
Answer »Answer: (b)
Amit’s income = Rs.3x
and his expenditure = Rs.5y
Veeri’s income = Rs.2x
and his expenditure = Rs.3y
3x - 5y = 2x - 3y
x = 2y
3x - 5y = 1000
6y - 5y = 1000
y = 1000
x = 2000
Amit’s income = 3x
= 3 × 2000 = Rs.6000
Question : 4
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 : 5
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 : 6
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
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
ratio & proportion Shortcuts and Techniques with Examples
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