Question

P's income is 25 % more than if Q .By what percentage is Q's income less than P's?
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Answer 1

Answer:

Let's p income be x

x+25%of x

125/100x

diff. in income = 125/100 -100

25/100x

% increase

25/100 ÷ x × 100

25/100 x ×1/x ×100

25%

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Answer 2

Answer:

Q's income is 20% less than P's income.

Step-by-step explanation:

Let x be the income of Q,

∵ P's income is 25 % more than if Q,

So, P's income = x + 25% of x = x + 0.25x = 1.25x,

Now,

$\frac{\text{Difference in P's and Q's income}}{\text{P's income}}\times 100$

$=\frac{1.25x-x}{1.25x}\times 100$

$=\frac{0.25}{1.25}\times 100$

$=\frac{2500}{125}$

= 20%

Hence, Q's income is 20% less than P's income.

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