When the price of sugar increased by 28%, a family reduced its consumption per month such that the expenditure on sugar was only 12% more than the earlier one. If the family consumed 18.4 kg sugar per month earlier, then what is its new consumption of sugar per month?
Answer & explanation
Correct answer: option 1
28% = \(\frac{7}{25}\)
12% = \(\frac{3}{25}\)
Price 25 : 32
consumption a : b
Expenditure 25 : 28
{ Price × Consumption = Expenditure }
\(\frac{25a}{32b}\) = \(\frac{25}{28}\)
\(\frac{a}{b}\) = \(\frac{8}{7}\)
As , 8R = 18.4
1R = 2.3
7R = 2.3 × 7 = 16.1
So , reduced consumption of sugar = 16.1 kg