The expenditures of Ravi, Sohan and Tarun are in the ratio 9 : 6 : 4, and they save 10%, 25% and 20% of their incomes respectively. If the sum of their incomes is Rs 2,760, find Sohan’s income.
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → Rs 960
A person who saves \(s\%\) spends \((100-s)\%\) of the income, so income \(=\) expenditure \(\div\) the part spent.
Expenditures \(9k,\ 6k,\ 4k\)
Ravi spends 90%: income \(=9k\div0.9=10k\)
Sohan spends 75%: income \(=6k\div0.75=8k\)
Tarun spends 80%: income \(=4k\div0.8=5k\)
\(10k+8k+5k=23k=2760\), so \(k=120\)
Sohan’s income \(=8\times120=\) Rs 960
Sohan’s income is Rs 960.