IPMAT Rohtak 2019 (QA) - One-fifth of a number is equal to 5/8th of another number. If 35 is added to the first number, it becomes four times the second number. Find the second number. | PYQs + Solutions

IPMAT Rohtak 2019

Arithmetic

Percentages

Easy

One-fifth of a number is equal to $\frac{5}{8}$ th of another number. If 35 is added to the first number, it becomes four times the second number. Find the second number.

Correct Option: 3

Let the first number be

x

and second number be

y

, then:

\frac{x}{5}=\frac{5y}{8}

x=\frac{25y}{8}

and

x+35=4y

which, we can rewrite as:

\frac{25y}{8}+35=4y

4y-\frac{25y}{8}=35

\frac{7y}{8}=35

y=40