Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Percentages

Question:

The monthly salary of a person was ₹75,000. He used to spend on Family Expenses (E), Taxes (T), Charity (C) and 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 became 30% of E and C became 20% of T. The ratio of the savings of his earlier salary to that of his present salary is:

Options:

655 : 644

325 : 337

644 : 655

337 : 325

Correct Answer:

655 : 644

Explanation:

Monthly salary of a person =  ₹75,000

E = 60% of 50,000 = \(\frac{60}{100}\) × 75000 = 45000

T = 20% of E = \(\frac{20}{100}\) × 45000 = 9000

C = 15% of T = \(\frac{15}{100}\) × 9000 = 1350

Saving = 75000 - 45000 - 9000 - 1350 = 19,650

New salary = 140% of old salary = \(\frac{140}{100}\) × 75000 = 105000

E = 60% of 70,000 = \(\frac{60}{100}\) × 105000 = 63000

T = 30% of E = \(\frac{30}{100}\) × 63000 = 18900

C = 20% of T = \(\frac{20}{100}\) × 18900 = 3780

New Saving  = 105000 - 63000 - 18900 - 3780 = 19320

 Required Ratio ,

   19,650  :  19320

     655     :   644