The ratio of the expenditure of Pervez, Sunny, and Ashu are 16: 12: 9 respectively and their savings are 20%, 25%, 40% of their income. The sum of the income is Rs 1530, find Sunny's salary.

480

We know,

Income = Expenditure + Saving

Ratio of expenditure of Parvez , Sunny and Ashu is = 16 : 12 : 9

Let us consider Income of Parvez , Sunny and Ashu is P , S & A respectively.

So, Saving of Parvez = 20% of P

Income of Parvez = P = 16 +  20% of P

P = 16 +  \(\frac{20}{100}\) × P

P - \(\frac{1}{5}\) × P  = 16

P = 20

So, Saving of Sunny = 25% of S

Income of Sunny = S = 12 +  25% of S

S = 12 +  \(\frac{25}{100}\) × S

S - \(\frac{1}{4}\) × S  = 12

S = 16

So, Saving of Ashu = 40% of A

Income of Ashu = A = 9 +  40% of A

A = 9 +  \(\frac{2}{5}\) × A

A - \(\frac{2}{5}\) × A  = 9

A = 15

Now, Ratio of Income of Parvez , Sunny and Ashu is  = 20 : 16 : 15

ATQ,

( 20 + 16 + 15 )R = 1530

51R = 1530

1R = 30

Now, Salary of Sunny = 16R = 16 × 30

= Rs. 480