Question

From a sum of ₹ 30,000, 20% is spent on rent, 10% is spent on food and 30% of the remaining is spent on clothing. What percentage of the sum is left?

• A. 49%
• B. 51%
• C. 40%
• D. 60%

Answer 1

The correct option is A 49%

Total sum = ₹ 30,000
Amount spent on rent
$=20\text{\%}of₹30,000$
$=\frac{20}{100}\times 30,000$
$=₹6,000$

Amount spent on food
$=10\text{\%}of₹30,000$
$=\frac{10}{100}\times 30,000$
$=₹3,000$

Amount remaining
$=₹30,000-(₹6,000+₹3,000)$
$=₹21,000$

Amount spent on clothing
$=30\text{\% of}₹21,000$
$=\frac{30}{100}\times 21,000$
$=₹6,300$

Amount of money left
= ₹ 21,000 - ₹ 6,300
= ₹ 14,700

Hence, the percentage of sum left
$=\frac{14,700}{30,000}\times 100$
$=49\text{\%}$