Question

the total income of hazari and murari is rs.3000 harzan spends 60% of his income and murari spends 80% of his income if their saving are equal what is the income of hazari?

Answer 1

Income of Hazari is Rs. 1000 and Murari is Rs. 2000

Answer 2

Solution :-

Let the income of Hazari be Rs. 'x' and the income of Murari be Rs. 'y'

Now, according to the question.

⇒ x + y = 3000 .........................(1)

Given : Savings of both is equal.

As Hazari spends 60 % of his income, so he saves 40 % of his income.

And, Murari spends 80 % of his income, so he saves 20 % of his income.

Now,

⇒ 40 % of x = 20 % of y

⇒ 40x/100 = 20y/100

⇒ 2x/5 = y/5

⇒ 2x/5 - y/5 = 0 ...................(2)

Now multiplying (1) by 2/5, we get.

⇒ (x + y = 3000)*2/5

⇒ 2x/5 + 2y/5 = 1200 ...........(3)

Now, subtracting (2) from (3)

      2x/5 + 2y/5 = 1200
      2x/5  -   y/5 =  0
     -        +           -
__________________
                3y/5 = 1200
__________________

⇒ 3y/5 = 1200

⇒ 3y = 1200*5

⇒ 3y = 6000

⇒ y = 6000/3

⇒ y = 2000

Substituting y = 2000 in (1), we get.

⇒ x + y = 3000

⇒ x + 2000 = 2000

⇒ x = 3000 - 2000

⇒ x = 1000

Hence, income of Hazari is Rs. 1000 and income of Murari is Rs. 2000

Answer.