Question

Sachin and Anurag have monthly incomes in the ratio 6 : 7 and Their monthly expenditures in the ratio 5 : 4. If they save Rs. 700 and Rs. 2100 respectively, find the monthly expenditure of Anurag.​

Answer 1

Step-by-step explanation:

$\bf{\underline{\underline\red{Given:-}}}$

• Sachin and Anurag have monthly incomes in the ratio 6 : 7

• Their monthly expenditures in the ratio 5 : 4

• They save Rs. 700 and Rs. 2100 respectively.

$\bf{\underline{\underline\blue{To\:Find:-}}}$

• The monthly expenditure of Anurag.

$\bf{\underline{\underline\green{Solution:-}}}$

Let the common ratio between the incomes be x

The income of Sachin = 6x

The income of Anurag = 7x

Let the common ratio between the expenditure be y

The expenditure of Sachin = 5y

The expenditure of Anurag = 4y

The savings of Sachin = 700

Savings = Income - Expenditure

→ 6x - 5y = 700.......(i)

The savings of Anurag = 2100

Savings =. Income - Expenditure

→ 7x - 4y = 2100.....(ii)

Multiplying eqation (i) with 4 and (ii) with 5

→ 4( 6x - 5y = 700)

→ 24x - 20y = 2800.......(iii)

→ 5( 7x - 4y = 2100)

→ 35x - 20y = 10500....(iv)

Subtracting equation (iii) from (iv)

→ 35x - 20y - (24x - 20y) = 10500 - 2800

→ 35x - 20y - 24x + 20y = 7700

→ 11y = 7700

→ y = 700

Now

We are asked to find the monthly expenditure of Anurag

Expenditure of Anurag

= 4y

= 4 × 700

= 2800

$\underline{\boxed{ \rm \purple{ \therefore The \: monthly \: expenditure \: of \: Anurag \: = Rs.2800}}}$

Answer 2

$\huge\underline{\pink{A}\red{N}\orange{S}\blue{W}\purple{E}\red{R}}$

$</p><p>\bf{\underline{\underline\red{Given:-}}} </p><p>$

Sachin and Anurag have monthly incomes in the ratio 6 : 7

Their monthly expenditures in the ratio 5 : 4

They save Rs. 700 and Rs. 2100 respectively.

$\bf{\underline{\underline\blue{To\:Find:-}}} </p><p>$

The monthly expenditure of Anurag.

\bf{\underline{\underline\green{Solution:-}}}

Solution:−

Let the common ratio between the incomes be x

The income of Sachin = 6x

The income of Anurag = 7x

Let the common ratio between the expenditure be y

The expenditure of Sachin = 5y

The expenditure of Anurag = 4y

The savings of Sachin = 700

Savings = Income - Expenditure

→ 6x - 5y = 700.......(i)

The savings of Anurag = 2100

Savings =. Income - Expenditure

→ 7x - 4y = 2100.....(ii)

Multiplying eqation (i) with 4 and (ii) with 5

→ 4( 6x - 5y = 700)

→ 24x - 20y = 2800.......(iii)

→ 5( 7x - 4y = 2100)

→ 35x - 20y = 10500....(iv)

Subtracting equation (iii) from (iv)

→ 35x - 20y - (24x - 20y) = 10500 - 2800

→ 35x - 20y - 24x + 20y = 7700

→ 11y = 7700

→ y = 700

Now

We are asked to find the monthly expenditure of Anurag

Expenditure of Anurag

$= 4y$

$= 4 × 700$

$= 2800$

$\underline{\boxed{ \rm \purple{ \therefore The \: monthly \: expenditure \: of \: Anurag \: = Rs.2800}}} </p><p>$