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:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 40%.
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.
Increased price = [(100 + increased %)/100] × old price
Let the expenses on wheat, vegetables, and oil be Rs. 12, Rs. 8, and Rs. 5, respectively.
The old expenses = 12 + 8 + 5 = Rs. 25
The new price of wheat with a 50% increase = 150(12)/100 = 18 rupees
The new price of vegetables with a 25% increase = 125(8)/100 = 10 rupees
The new price of oil with a 25% increase = 140(5)/100 = 7 rupees
The new total expense = 18 + 10 + 7 = Rs. 35
The total expenses of the family on these items increased by = [(35 - 25)/25]100 = 1000/25 = 40%