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

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

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

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

Answer: (d)

Let the income of A, B and C be Rs.3x, Rs.7x and Rs.4x respectively

and their expenses be Rs.4y, Rs.3y and Rs.5y respectively.

3x = 2400

x = 800

4y = 2400 - 300 = 2100

y = 525

B’s saving

= (7x - 3y)

= Rs.(7 × 800 - 3 × 525)

= Rs.(5600 - 1575) = Rs.4025

and C’s savings = Rs.(4x - 5y)

= Rs.(3200 - 2625) = Rs.575

Answer: (d)

Let the income of two persons be Rs.5x and Rs.3x respectively

and their expenditures be Rs.9y and Rs.5y respectively.

As given,

5x - 9y = 2600 ...(i)

3x - 5y = 1800 ...(ii)

By 5 × (i) - 9 × (ii) we get

25x - 27x = 13000 - 16200

- 2x = - 3200

$x = 3200/2$ = 1600

First person’s income

= Rs.(1600 × 5) = Rs.8000

Second person’s income

= 3x = Rs.(1600 × 3) = Rs.4800

Answer: (c)

A’s monthly income = Rs.8x

A’s monthly expenditure= Rs.5y

B’s monthly income = Rs.5x

B’s monthly expenditure= Rs.3y

According to the question,

8x - 5y = 12000 ...(i)

5x - 3y = 10000 ...(ii)

By equation (i) × 3 - (ii) × 5,

x = 14000

Difference between monthly incomes of

A and B = 8x - 5x

= Rs.3x = Rs.(3 × 14000) = Rs.42000