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

Question : 11 [SSC CGL Prelim 2004]

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: (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 : 12 [SSC CHSL 2010]

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: (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 : 13 [SSC CGL Tier-I 2010]

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: (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 : 14 [SSC CGL Tier-II 2017]

A’s income is Rs.140 more than B’s income and C’s income is Rs.80 more than D’s. If the ratio of A’s and C’s incomes is 2 : 3 and the ratio of B’s and D’s incomes is 1 : 2, then the incomes of A, B, C and D are respectively

a) Rs.400, Rs.260, Rs.600 and Rs.520

b) Rs.320, Rs.180, Rs.480 and Rs.360

c) Rs.300, Rs.160, Rs.600 and Rs.520

d) Rs.260, Rs.120, Rs.320 and Rs.240

Answer: (a)

Let A‘s income be Rs.2x.

B’s income = Rs.(2x - 140)

C’s income = Rs.3x

D’s income = Rs.(3x - 80)

According to the question,

B : D = 1 : 2

2 (2x - 140) = 3x - 80

4x - 280 = 3x - 80

4x - 3x = 280 - 80

x = Rs. 200

A’s income

= Rs.(2 × 200) = Rs.400

B’s income

= Rs.(400 - 140) = Rs.260

C’s income

= Rs.(3 × 200) = Rs.600

D’s income

= Rs.(600 - 80) = Rs.520

Question : 15 [SSC CGL Tier-I 2013]

The ratio of monthly incomes of A, B is 6 : 5 and their monthly expenditures are in the ratio 4 : 3. If each of them saves Rs.400 per month, find the sum of their monthly incomes.

a) 2200

b) 2500

c) 2400

d) 2300

Answer: (a)

Income of A and B

= Rs.6x and 5x

Expenses of A and B

= Rs.4y and 3y

6x - 4y = 400 ...(i)

5x - 3y = 400 ...(ii)

By equation (i)× 3 - (ii) × 4

18x - 12y - 20x + 12y

= 1200 - 1600

2x = 400 ⇒ x = 200

Total income

= 6x + 5x = 11x = Rs.2200

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