The expenses on wheat, meat and vegetable of a family are in the ratio 12 : 17 : 3. The prices of these articles are increased by 20%, 30% and 50% respectively, The total expenses of the family on these articles are increased by?

Let expenses on wheat be 12N.
Expenses on meat = 17N.
Expenses on vegetables = 3N.
∴ Total expenses = 32N.
Increased expenses = ₹ (120% of 12N) + (130% of 17N) + (150% of 3N)]
= ₹ [(120/100) x 12N] + [(130/100) x 17N] + [(150/100) x 3N]
= ₹ [72N/5 + 221N/10 + 9N/2]
= ₹ (144N + 221N + 45N)/10
= ₹ 410N/10
= ₹ 41
∴ Total increase percentage = (9N/32N) x 100 %
= 225/8 %
= 28¹/₈%