Question

The ratio of the incomes of Raman and
Gagan is 4:3 and ratio of their expenditures
is 3:2. If each person saves 2500. Then,
Raman's income is
​

Answer 1

Answer:

10000

Step-by-step explanation:

Income ratio =4:3

Therefore

Ramans income =4x

Gagans income =3x

Expenditure ratio=3:2

Therefore

Ramans expenditure =3x

Gagans expenditure =2x

They both save rupees 2500

Therefore the equations are

4x-3x=2500

3x-2x=2500

By solving any equation

We get x=2500

Ramans income=4x=4(2500)=10000

Answer 2

❥${\red{\underline{\underline{\huge{\mathtt{Question:-}}}}}}$

The ratio of the incomes of Raman and Gagan is 4:3 and the ratio of their expenditure is 3:2. If each person saves 2500. Find the Raman's income.

❥${\red{\underline{\underline{\huge{\mathtt{Solution:-}}}}}}$

Consider,

Raman's income = 4x

Gangan's income = 3x

Raman's expenditure = 3y

Gagan's expenditure = 2y

• Each person saves 2500 rupees.

★In case of Raman ,

According to the question,

4x - 3y = 2500 ............(i)

★In case of Gagan,

According to the question,

3x - 2y = 2500..............(ii)

✞ Multiply 2 with (i)no. equation and multiply 3 with (ii)no. equation✞

8x - 6y = 5000...........(i)

9x - 6y = 7500............(ii)

★ By elimination→

8x - 6y = 5000

9x - 6y = 7500

(-). (+). (-)

__________________

- x = -2500

→ x = 2500

So, Raman's income = 4x

= 4×2500 rupees

= 10000 rupees

❥${\red{\underline{\underline{\huge{\mathtt{Answer:-}}}}}}$

Raman's income is 10000 rupees.