The expenses of a family on wheat, vegetables and oil are in the ratio 12 : 8 : 5. The prices of these items increased by 50%, 25% and 40%, respectively. The total expenses of the family on these items increased by:

40%

50% = \(\frac{1}{2}\) , 25% = \(\frac{1}{4}\) & 40% = \(\frac{2}{5}\)

Expenses on                        Wheat        Vegetables              Oil            Total

                                            12         :         8               :     5               25

New expenses          = 12 × \(\frac{3}{2}\)  : 8 × \(\frac{5}{4}\) : 5 × \(\frac{7}{5}\)

                                           18          :         10              :     7                35

Percentage increase in Expenditure = \(\frac{35 - 25}{25}\) × 100 = 40%