type 4 income & expenditure based ratio & proportion problems Section-Wise Topic Notes With Detailed Explanation And Example Questions

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

Answer: (a)

Let the income of two persons (A and B) be Rs.2x and Rs.3x respectively.

Again let the expenditures of A and B be Rs.5y and Rs.9y respectively.

2x - 5y = 600 ...(i)

3x - 9y = 600 ...(ii)

From equations (i) and (ii),

2x - 5y = 3x - 9y

x = 4y

From equation (i),

2 × 4y - 5y = 600

3y = 600 ⇒ y = 200

x = 4 × 200 = 800

A’s income = 2x

= 2 × 800 = Rs.1600

B’s income = 3x

= 3 × 800 = Rs.2400

Answer: (d)

Let the income of A and B be Rs.5x and Rs.3x respectively.

Let the expenses of A, B and C be Rs.8y, Rs.5y and Rs.2y respectively.

Then, 2y = 2000

$y =2000/2 = 1000$

B saves = Rs.700

3x - 5y = 700

3x - 5×1000 = 700

3x = 700 +5000 = 570

$x = 5700/3 = 1900$

A’s saving = Rs.(5x - 8y)

= Rs.(5×1900 - 8×1000)

= Rs.(9500 - 8000) = Rs.1500

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

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

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