Question

With the money Arvind has, he can buy 50 pens or 150 pencils. He kept 10% of it aside for taxi fare and with the remaining, he purchased 54 pencils and n pens. The value of n is:
1. 27
2. 25
3. 29
4. 30

Answer 1

Correct Answer - Option 1 : 27

Given:

With the money, he buys = 50 pens or 150 pencil

by keeping 10% aside, with the rest of the money he buys = 54 pencils and n pen

Calculation:

Let the cost of each pen be x and each pencil be y

Then, total money = 50 × x = 150 × y

Ratio of rate of one pen to pencil = x ∶ y = 3 ∶ 1

Amount spent after keeping aside money = 54y + xn

54y + xn = 90% of 50x or 90% of 150y

Applying the values obtained in ratio in the above equation we get,

54 × 1 + 3 × n = (9/10) × 50 × 3

n = (135 - 54) ÷ 3 = 81/3 = 27

∴ n is 27.