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.
Answer & explanation
Correct answer: option 4
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