1.) Sixty five percent of a number is 21 less than four fifth of that number. What is the number ?

**A.** 90 **B.** 140

**C.** 220 **D.** None of these

**View Answer**

**Answer:** Option **B**

**Explanation:**

Sol. Let the number be x.

Then, 4 * x/5 –(65% of x) = 21

4x/5 –65x/100 = 21

5 x = 2100

**x = 140.**

2.) In an election between two candidates, 75% of the voters cast their votes, out of which 2% of the votes were declared invalid. A candidate got 9261 votes which were 75% of the total valid votes. Find the total number of votes enrolled in that election.

**A.** 9000 **B.** 15680

**C.** 16800 **D.** None of these

**View Answer**

**Answer:** Option **C**

**Explanation:**

Let the number of votes enrolled be x. Then ,

Number of votes cast =75% of x. Valid votes = 98% of (75% of x).

75% of (98% of (75%of x)) =9261.

[(75/100) * (98/100) * (75/100) * x] = 9261.

X = [(9261*100*100*100)/(75*98*75)] =**16800.**

3.) If the numerator of a fraction be increased by 15% and its denominator be diminished by 8% , the value of the fraction is 15/16. Find the original fraction.

**A. ** 5/4 **B.** 7/2

**C.** 8/3 **D.** None of these

**View Answer**

**Answer:** Option **D**

**Explanation:**

Let the original fraction be x/y.

Then (115% of x)/(92% of y)=15/16 => (115x/92y)=15/16

((15/16)*(92/115))=**3/4**

4.) In the new budget , the price of kerosene oil rose by 25%. By how much percent must a person reduce his consumption so that his expenditure on it does not increase ?

**A.** 20% **B.** 27%

**C.** 30% **D.** 40%

**View Answer**

**Answer:** Option **A**

**Explanation:**

Reduction in consumption = [((R/(100+R))*100]%

[(25/125)*100]%=**20%.**

5.) During one year, the population of town increased by 5% . If the total population is 9975 at the end of the second year , then what was the population size in the beginning of the first year ?

**A.** 8000 **B.** 9700

**C.** 10000 **D.** None of these

**View Answer**

**Answer:** Option **C**

**Explanation:**

Population in the beginning of the first year

= 9975/[1+(5/100)]*[1-(5/100)] = [9975*(20/21)*(20/19)]=**10000.**