Practicing Success
If price of rice is increased by 25 percent, then by what percentage consumption of rice should be decreased so that the expenditure incurred on rice gets decreased by 40 percent? |
52 percent 43.33 percent 42 percent 48 percent |
52 percent |
25% = \(\frac{1}{4}\) , 40% = \(\frac{2}{5}\) Price 4 : 5 consumption a : b Expenditure 5 : 3 { Expenditure = Price × Consumption } \(\frac{4a}{5b}\) = \(\frac{5}{3}\) \(\frac{a}{b}\) = \(\frac{25}{12}\) Decrease in consumption = 25 - 12 = 13 Decrease percentage in consumption = \(\frac{13}{25}\) × 100 = 52% |