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Percentages · Question 26 of 72

Using the Nair family's budget table:

Question 26

MediumOriginal question

The Nair family's monthly budget (total monthly income ₹60,000):

ItemAmount (₹)
Rent15,000
Food12,000
Education9,000
Transport4,800
Other7,200
Savings12,000

Using the Nair family's budget table: next month, food spending rises by 20% and transport spending rises by 25%. Income and every other item stay the same, and savings absorb the extra cost. By what percentage do the family's savings fall?

Options for question 26

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Extra food cost = 20% of ₹12,000 = ₹2,400.

  2. Extra transport cost = 25% of ₹4,800 = ₹1,200.

  3. Savings fall by ₹3,600, from ₹12,000 to ₹8,400.

  4. Percentage fall = 360012000×100=30%\frac{3600}{12000} \times 100 = 30\%.

Worth noting

The fall is measured on the old savings (₹12,000). Dividing by the income gives 6%; adding the two rates gives 45%.

Concept
Percentage change in a quantity that absorbs other changes
Typical time
75 s
Your time
—
The rule this testsPercentage change
Practise this chapter →

Ten questions from Percentages, at your own pace.

Practise this chapter →

Ten questions from Percentages, at your own pace.