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

Questions : The annual income of A and B are in the ratio 4 : 3 and the ratio of their expenditures is 3 : 2. If each of them saves Rs.600 in the year, the annual income of A is

(a) Rs.1200

(b) Rs.2400

(c) Rs.1800

(d) Rs.4800

The correct answers to the above question in:

Answer: (b)

Let the annual income of A and B be Rs.4x and Rs.3x respectively.

Also let their annual expenditures be Rs.3y and Rs.2y respectively

According to question,

4x - 3y = 600 ...(i)

3x - 2y = 600 ...(ii)

From equation (i) and (ii)

4x - 3y = 3x - 2y ⇒ x = y

From equation (i)

4x - 3x = 600 ⇒ x = 600

Annual income of A

= 4x = 4 × 600 = Rs.2400

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Read more income and expenditure based ratio and proportion Based Quantitative Aptitude Questions and Answers

Question : 1

Monthly income of A and B are in the ratio of 4 : 3 and their expenses bear the ratio 3 : 2. Each of them saves Rs.6,000 at the end of the month, then the monthly income of A is

a) Rs.30,000

b) Rs.60,000

c) Rs.24,000

d) Rs.12,000

Answer: (c)

Let the monthly income of A and B be Rs.4x and Rs.3x respectively

and their expenditures be Rs.3y and Rs.2y respectively.

4x - 3y = 6000

and 3x - 2y = 6000

4x - 3y = 3x - 2y

x = y

4x - 3y = 6000

x = 6000

A’s monthly income

= 4x = Rs.24000

Question : 2

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: (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 : 3

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: (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

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GET ratio & proportion PRACTICE TEST EXERCISES

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