Using the Nair family's budget table:

Question 36

HardOriginal question

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

Item	Amount (₹)
Rent	15,000
Food	12,000
Education	9,000
Transport	4,800
Other	7,200
Savings	12,000

Using the Nair family's budget table: next year the family's income rises by 10%, while every spending item stays exactly the same. By what percentage do the family's savings rise?

10%Correct answerYour answer12.5%Correct answerYour answer

33\frac{1}{3}\%

Correct answerYour answer50%Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer D

Correct answer: D

Total spending = ₹60,000 − ₹12,000 = ₹48,000, and it does not change.
New income = ₹60,000 × 1.1 = ₹66,000.
New savings = ₹66,000 − ₹48,000 = ₹18,000, a rise of ₹6,000.
Percentage rise = $\frac{6000}{12000} \times 100 = 50\%$ .

Worth noting

Savings do not rise by the same 10% as income: the whole ₹6,000 increase lands on savings. Dividing ₹6,000 by the new savings gives $33\frac{1}{3}\%$ .

Concept: Percentage change of a difference (income minus spending)
Typical timeTypical: 100 s
Your timeYours: —

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.

Using the Nair family's budget table:

Question 36

Explanation