Question

If y is 25% larger than x what percent is x of y (nearest %)?

(a) 75%
(b) 80%
(c) 120%
(d) 125%
(e) 133%

Answer 1

Answer: (b) 80%

Step-by-step explanation:

If y is 25% larger x,

y = x + (25/100)x

  = 100x/100 + 25x/100                  (100x/100 = x)

  = 125x/100

  = 5x/4                                         (125/100 = 5/4)

Now we know that y = 5x/4.

On multiplying 4/5 on both sides, we get:

y × 4/5 = 5x/4 × 4/5

4y/5 = x                                        (5/4 × 4/5 = 1)

Multiplying both sides of 4y/5 = x with 100 will give us what percentage of x y is.

On multiplying both sides with by 100:

4y/5 × 100 = x × 100

400y/5 = 100x

80y = 100x

80y/100 = x

80% of y = x

Therefore, the answer is (b) 80%.