By what percent is P’s salary is more than Q’s if Q’s salary is 20% less than that of P.

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By what percent is P’s salary is more than Q’s if Q’s salary is 20% less than that of P.

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2.5%

25%

20%

80%

answer is B.

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Detailed Solution

Given that, P’s salary is more than Q’s if Q’s salary is 20% less than that of P.
Let P’s salary be ‘x’.
According to the question,
Q’s salary,

⇒ x − 20 % o f x ⇒ x − 20100 × x ⇒ x − 15 x

⇒

Q’s salary

= 45 x

……(i)
We know that,

i n c r e a s e % = i n c r e a s e i n q u a n t i t y o r i g i n a l q u a n t i t y × 100

(ii)
As solved above, P’s salary is

15 x

more than Q’s salary.

⇒ 1 / 5 x 4 / 5 x × 100 ⇒ 25 %

[Using (ii)]
P’s salary is 25% more than Q’s salary.
Hence, option 2 is correct.

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