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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

The right answer is option c

Let the number be p.

75% of p + 75 = p

â‡’(75/100)p + 75 = p

â‡’ 75 = p â€“(75p/100)

â‡’ 75 =(25p/100)

â‡’ p= 75 Ã— 4 = 300

âˆ´ 40% of p =(40/100) Ã— 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%

Option D is the right answer

Question 3: If 50% of (x â€“ y) = 30% of (x + y), then what per cent of x is y?

(a) 25%
(b) 100/3 %
(c) 40%
(d) 400%

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

The right option is option d

Let the fruit seller originally have y apples.

According to the question,

Total apples â€“ sold apples = left apples

y – 40% of y = 420

y â€“ (40/100)x y = 420

y â€“ (2y/5) = 420

{(5y â€“ 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

The right answer is option c

Given, a% of a = 9

(a/100) x a = 9

â‡’ a2 = 900

therefore a= 30

### Percentages: The Complete Lesson

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