**Question 1:** p is six times as large as q. The percent that q is less than p, is

### Answers and Explanations

**Question 2:** If the income of Ram is 12.5% more than that of Shyam, the income of Shyam is less than of Ram by

### Answers and Explanations

**Question 3:** A’s income is 10% more than B’s income. By how much percent is B’s income less than that of A

(a) 100/9%

(b) 100/11%

(c) 10%

(d) 9%

### Answers and Explanations

**Question 4:** The cost price of an article is 40% of the selling price. What percent of the cost price is the selling price ?

(a) 150%

(b) 200%

(c) 220%

(d) 250%

### Answers and Explanations

**Answer: (d)**Let the SP of the article = Rs. 100

⇒ 40% of SP = {100 x (40/100)}

∴ CP = Rs. 40

Question asks about what percent of the cost price is the selling price

∴ Required percentage = {(100/40) x 100} = 250%

Question 5: B got 20% marks less than A. What percent marks did A get more than B ?

(a) 20%

(b) 25%

(c) 12%

(d) 80%

### Answers and Explanations

**Answers: (b)**

Using the formula:

If a number is p % less than other number, then the other number is more than the first number by

{p/(100-p)} x 100 %

p = 20%

Required Percent = {(p/100 – p) x 100}

= {20/(100 – 20)} x 100

= (20/80) x 100 = 25%

### Percentages: The Complete Lesson

#### Table of Contents

**Concept Articles**

**Exercises**

**Tests**