Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Percentages

Question:

If one side of a square is increased by 30%, by what percentage another side is reduced so that its area remains same?

Options:

15%

76\(\frac{12}{13}\)%

23\(\frac{1}{3}\)%

30%

Correct Answer:

23\(\frac{1}{3}\)%

Explanation:

Area = Side1 × Side2

*(When area is constant, then the relation b/w sides are inversely proportional)

Side1  :  10  :   13

Side2  :  13  :   10

Side2 should be reduced by = 13 - 10 = 3

So, Reduce percent = \(\frac{3}{13}\) × 100 = 23\(\frac{1}{3}\)%