type 4 income & expenditure based ratio & proportion problems Practice Questions Answers Test with Solutions & More Shortcuts

Question : 21 [SSC CHSL 2012]

The ratio of the incomes of A and B as well as of B and C is 3 : 2. If one third of A’s income exceeds one fourth of C's income by Rs.1000, what is B’s income in ?

a) 3500

b) 4000

c) 2500

d) 3000

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

Question : 22 [SSC CPO 2011]

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: (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 : 23 [SSC CGL Prelim 2003]

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: (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 : 24 [SSC DEO 2009]

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: (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 : 25 [SSC CGL Prelim 1999]

Between two consecutive years my income are in the ratio of 2 : 3 and expenses in the ratio 5 : 9. If my income in the second year is Rs.45000 and my expenses in the first year is Rs.25000 my total savings for the two years is :

a) Rs.10000

b) Rs.5000

c) Rs.15000

d) Nil

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

IMPORTANT quantitative aptitude EXERCISES

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