80% of 200 - 50 is equal to :

1. 30% of 200

2. 110

3. 80% of 150

4. none of these

A number 80 is wrongly taken as 100. The percentage error is :

1. 20%

2. 25%

3. $\dfrac{100}{80}\times 100\%$

4. $\dfrac{80}{100}\times 100\%$

Statement 1: To change a number in percentage to a ratio, write it as fraction with denominator 100 and then reduce it to the lowest term if possible.

Statement 2: A percentage can be converted to a fraction by removing sign of % dividing by 100.

Which of the following options is correct?

1. Both the statements are true.

2. Both the statements are false.

3. Statement 1 is true, and statement 2 is false.

4. Statement 1 is false, and statement 2 is true.

Assertion (A) : 9 % of $\sqrt{0.0169}$ is 0.0117.

Reason (R) : To find a percentage of a quantity, we change the percentage to a fraction or a decimal and multiply it by the quantity.

1. Both A and R are correct, and R is the correct explanation for A.

2. Both A and R are correct, and R is not the correct explanation for A.

3. A is true, but R is false.

4. A is false, but R is true.