Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Percentages

Question:

A number is decreased by 20 % to get another number. The number so obtained is increased by 200 % to get a third number. The difference of the third number and the original number is what percentage more or less than the difference of second and the third number?

Options:

More, 15.7 Percent

Less, 15.7 Percent

More, 12.5 Percent

Less, 12.5 Percent

Correct Answer:

Less, 12.5 Percent

Explanation:

Let the first number = 100

According to the question,

The second number = 80 ( 20% less than first number)

Third number is 200% of the second number = 80 × 300% = 240

The difference between third and the first = 240 - 100 = 140

The difference between the second and the third  = 240 - 80 = 160

Percentage % = ( 160  - 140) × \(\frac{100}{160}\) = (20) × \(\frac{100}{160}\) = Less, 12.5 Percent