SSC MTS 2022 Question Paper Shift 2 (July 22nd)

Question 55

If 45% of (X -Y) = 30% of (X + Y), then what percent of X is Y?

Solution

If 45% of (X -Y) = 30% of (X + Y).

$$\frac{45}{100}\times(X-Y)=\ \frac{30}{100}\times\ (X+Y)$$

$$3\times(X-Y)=\ 2\times\ (X+Y)$$

3X - 3Y = 2X + 2Y

3X - 2X = 2Y + 3Y

X = 5Y    Eq.(i)

Let's assume Z% of X is Y.

Z% of X = Y

Put Eq.(i) in the above equation.

Z% of 5Y = Y

$$Z\times\frac{5}{100}=1$$

$$Z\times\frac{1}{20}=1$$

Z = 20%

Share on Whatsapp Share on Whatsapp

Create a FREE account and get:

  • Free SSC Study Material - 18000 Questions
  • 230+ SSC previous papers with solutions PDF
  • 100+ SSC Online Tests for Free

cracku

Boost your Prep!

Download App