GATE2012 CY: GA-8

Question

The data given in the following table summarizes the monthly budget of an average household.

$$\begin{array}{|l|c|c|} \hline \textbf{Category} & \textbf{Amount(Rs.)} \\\hline \text{Food} & \text{4000} \\\hline \text{Rent} & \text{2000} \\\hline \text{Savings} & \text{1500} \\\hline \text{Other expenses} & \text{1800} \\\hline \text{Clothing} & \text{1200} \\\hline\end{array}$$

The approximate percentage of the monthly budget NOT spent on savings is

• A. $10\%$
• B. $14\%$
• C. $81\%$
• D. $86\%$

Comments

In GO Pdf , Table is Incomplete(Clothing is missing.)

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$10500-\dfrac{x}{100}\times 10500=1500$

$9000=105x$

$\dfrac{9000}{105}=x$

$85.71=x$

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Just do 100%- spent on savings (1500/10,500) ≈ 86%

Answer 1

$\dfrac{9000}{10500}\times 100 = 85.7 \%$

Correct Answer: $D$

Comments

Monthly budget not spent on savings is:-

(4000+1200+2000+1800)=9000

Total budget=(4000+1200+2000+1500+1800)=10500

Percentage%=(9000/10500)*100~=86.7%

Answer 2

we know , INCOME -EXPENDITURE=SAVINGS

income = 9000+1500=10,500

here,(NOT spent on savings) is equivalent to (expenditure)

therefore ,percentage of expenditure out of income =(9000/10,500)*100=85.7% which is close to 86%

answer is 86%