Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Percentages

Question:

The monthly salary of a person was ₹50,000. He used to spend on three heads- personal and family expenses (E), taxes (T), philanthropy (P), and rest were his savings. E was 50% of the income, T was 20% of E and P was 15% of T. When his salary got raised by 40%, he maintained the percentage level of E, but T became 30% of E and P became 20% of T. By whatpercentage is the new savings more or less than the earlier savings? (correct up to one decimal place)

Options:

16.4% less

8.2% more

8.2% less

16.4% more

Correct Answer:

16.4% more

Explanation:

Let total income of person be 100

E = 50

T = 50 × \(\frac{20}{100}\) = 10

P = 10 ×  \(\frac{15}{100}\) = 1.5

His savings = 100 - 50 - 10 - 1.5 = 38.5

His new salary = 100 ×  \(\frac{140}{100}\) = 140

E = 140 × \(\frac{50}{100}\) = 70

T = 70 ×  \(\frac{30}{100}\) = 21

P = 21 ×  \(\frac{20}{100}\) = 4.2

New savings = 140 - 70 - 21 - 4.2 = 44.8

His savings increased by = 44.8 - 38.5 = 6.3

His savings increased by (in%) =   \(\frac{6.3}{38.5}\) × 100 = 16.4% more