Question 1: When 75 is added to 75% of a number, the answer is the number. Find 40% of that number.
(a) 100
(b) 80
(c) 120
(d) 160
Answers and Explanations
The right answer is option c
Let the number be p.
75% of p + 75 = p
⇒(75/100)p + 75 = p
⇒ 75 = p –(75p/100)
⇒ 75 =(25p/100)
⇒ p= 75 × 4 = 300
∴ 40% of p =(40/100) × 300 = 120.
Question 2: If 40% of A is added to 50% of B, the answer is 80% of B. What percentage of B is A?
(a) 30%
(b) 40%
(c) 70%
(d) 75%
Answers and Explanations
Option D is the right answer
Question 3: If 50% of (x – y) = 30% of (x + y), then what per cent of x is y?
(a) 25%
(b) 100/3 %
(c) 40%
(d) 400%
Answers and Explanations
Option a is the right answer
Question 4: A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had
(a) 588 apples
(b) 600 apples
(c) 672 apples
(d) 700 apples
Answers and Explanations
The right option is option d
Let the fruit seller originally have y apples.
According to the question,
Total apples – sold apples = left apples
y – 40% of y = 420
y – (40/100)x y = 420
y – (2y/5) = 420
{(5y – 2y)/5} = 420
3y/5 = 420
y =(420 x 5)/3 = 700
Question 5: If a% of a is 9, then ‘a’ is equal to
(a) 300
(b) 400
(c) 30
(d) 20
Answers and Explanations
The right answer is option c
Given, a% of a = 9
(a/100) x a = 9
⇒ a2 = 900
therefore a= 30
Percentages: The Complete Lesson
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