**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

⇒ a^{2} = 900

therefore a= 30

### Percentages: The Complete Lesson

#### Table of Contents

**Concept Articles**

**Exercises**

**Tests**