Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Percentages

Question:

A, B and C donate 8%, 7% and 9%,of their salaries, respectively to a charitable trust. The salaries of A and B are same and the difference between their donations is ₹259. The total donation of A and B is ₹1,185 more than that of C. The total donation of A and C is what percentage of the total salaries of A, B and C? (Correct to one decimal place)

Options:

6.2%

5.8%

6.4%

7.1%

Correct Answer:

5.8%

Explanation:

Let salaries of A = salary of B = 100x

 8x – 7x = 259

 1x = 259

 8x = 2072

ATQ,

15x = 3885

x = \(\frac{3885}{15}\) = 259

100x = 25900

Donation of C = 3885 – 1185 = 2700

So ,  9x = 2700

x = \(\frac{2700}{9}\) = 300

 100x = 30,000

Total donation of A and C = 2072 + 2700 = 4772

Total salaries of A, B and C = 25900 + 25900 + 30000 = 81800

Required percentage =  \(\frac{4772}{81800}\) × 100 = 5.8%