Question

Rancho is doing questions on "Playing with numbers". He failed in solving one question, try to help him." The ages of two persons N and R are 25% and 37% less than the age of third person S." Find the correct answer from the given statements :

a) N's age is 12% less than R's age.

b) R's age is 16% less than N's age.

c) N's age is 16% bigger than R's age.

d) R's age is 14% bigger than N's age.

Choose the correct options :  

1. a only
2. b only
3. both b and c 
4. Neither b nor d

Answer 1

Correct Answer - Option 3 : both b and c 

Given∶

The ages of two persons N and R are 25% and 37% less than the age of third person S.

Formula Used∶

Percentage decrease = [(Original Number - New Number)/Original no.] × 100

Calculation ∶

Let the age of the third person S' age be 100

Than, N's age,

⇒ 

100 - 25% of 100 = 75

and R's age,

⇒ 

100 - 37% of 100 = 63

Required decreased percentage = [(75 - 63)/75] × 100

⇒

 12 × 100)/75 = 16%

∴ We can say either R's age is 16% less than N's or N's age is 16% bigger than R's age.