The expenditures of Pervez, Sunny and Ashu are in the ratio 16 : 12 : 9, and they save 20%, 25% and 40% of their incomes respectively. If the sum of their incomes is Rs 1,530, find Sunny’s income.
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → Rs 480
A person who saves \(s\%\) spends \((100-s)\%\) of the income, so income \(=\) expenditure \(\div\) the part spent.
Expenditures \(16k,\ 12k,\ 9k\)
Pervez spends 80%: income \(=16k\div0.8=20k\)
Sunny spends 75%: income \(=12k\div0.75=16k\)
Ashu spends 60%: income \(=9k\div0.6=15k\)
\(20k+16k+15k=51k=1530\), so \(k=30\)
Sunny’s income \(=16\times30=\) Rs 480
Sunny’s income is Rs 480.