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 Family expenses (E), Taxes (T), Charity (C), and the rest were his savings. E was 60% of the income, T was 20% of E, and C was 15% of T. When his salary got raised by 40%, he maintained the percentage level of E, but T becomes 30% of E and C becomes 20% of T. The difference between the two savings (in ₹)is :

Options:

128

220

130

250

Correct Answer:

220

Explanation:

Monthly salary of a person =  ₹50,000

E = 60% of 50,000 = \(\frac{60}{100}\) × 50000 = 30000

T = 20% of E = \(\frac{20}{100}\) × 30000 = 6000

C = 15% of T = \(\frac{15}{100}\) × 6000 = 900

Saving = 50000 - 30000 - 6000 - 900 = 13,100

New salary = 140% of old salary = \(\frac{140}{100}\) × 50000 = 70000

E = 60% of 70,000 = \(\frac{60}{100}\) × 70000 = 42000

T = 30% of E = \(\frac{30}{100}\) × 42000 = 12,600

C = 20% of T = \(\frac{20}{100}\) × 12600 = 2520 

New Saving  = 70000 - 42000 - 12600 - 2520 = 12880

Required difference = New Saving -  Old Saving

= 13100 - 12880 = 220