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?

16.1 kg

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