Raju spends 10 percent and 20 percent of his income on transport and food respectively. He spends 30 percent of the remaining income on clothing. He saves rest of his income. If his saving is Rs. 26460, then what will be total expenditure on food and clothing together?

Solution(By Examveda Team)

$$\eqalign{ & {\text{Let, total income is }}100 \cr & {\text{Transport costs}} = 100 \times \frac{{10}}{{100}} = 10 \cr & {\text{Food costs}} = 100 \times \frac{{20}}{{100}} = 20 \cr & {\text{Remain}} = 100 - \left( {20 + 10} \right) = 70 \cr & {\text{Clothes costs}} = 70 \times \frac{{30}}{{100}} = 21 \cr & {\text{Saving}} = 100 - \left( {10 + 20 + 21} \right) = 49 \cr & {\text{Cost on food and clothes}} = 20 + 21 = 41 \cr & 49 \to 26460 \cr & 1 \to 540 \cr & \therefore 41 \to 540 \times 41 = {\text{Rs}}{\text{. }}22,140 \cr} $$