**Example**: 10% = \(\frac{10}{100}\) = \(\frac{1}{10}\)

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**Answer**: Option C

**Explanation**:

Let B = 100

A = 50

C * (\(\frac{150}{100}\) ) = 50

3C = 100

C = 33.3 then ‘C’ Cheapest

**2. The salary of a typist was at first raised by 10% and then the same was reduced by 5%. If he presently draws Rs.1045.What was his original salary?**

**Answer**: Option C

**Explanation**:

X * \(\frac{110}{100}\) * \(\frac{95}{100}\) = 1045

X * (\(\frac{11}{10}\)) * (\(\frac{1}{100}\)) = 11

X = 1000

**3. The tax on a commodity is diminished by 20% and its consumption increased by 15%. The effect on revenue is?**

**Answer**: Option B

**Explanation**:

100 * 100 = 10000

80 * 115 = 9200

———–

10000———–800

100———–? => 8% decrease

**4. A candidate got 35% of the votes polled and he lost to his rival by 2250 votes. How many votes were cast?**

**Answer**: Option A

**Explanation**:

35%———–L

65%———–W

——————

30%———-2250

100%———? => 7500

**5. Subtracting 10% from X is the same as multiplying X by what number?**

**Answer**: Option B

**Explanation**:

X – \(\frac{10}{100}\) X = X * ?

? = 90%

**Answer**: Option B

**Explanation**:

130

14

——-

361—— 144

100%——? => 400

**2. A and B’s salaries together amount to Rs. 2,000. A spends 95% of his salary and B spends 85% of his. If now their savings are the same, what is A’s salary?**

**Answer**: Option D

**Explanation**:

(5/100) A = (\(\frac{15}{100}\)) B

A = 3B

A + B = 2000

4B = 2000 => B = 500

A = 1500

**3. 5% people of a village in Sri Lanka died by bombardment, 15% of the remainder left the village on account of fear. If now the population is reduced to 3553, how much was it in the beginning?**

**Answer**: Option C

**Explanation**:

X * (latex]\frac{95}{100}[/latex]) * (latex]\frac{85}{100}[/latex]) = 3553

X = 4400

**4. The tank full of petrol in Arun’s motorcycle lasts for 10 days, if he starts using 25% more every day for how many days will the tank full of petrol last?**

**Answer**: Option D

**Explanation**:

alcohol = \(\frac{30*2}{5}\) = 12 and water = 18 litres

Let us assume that Arun uses X units of petrol everyday.

So the amount of petrol in the tank when it is fuel will be 10 X.

If he started using 25% more petrol every day, then the amount of petrol he how uses every day will be

X (1 +\(\frac{25}{100}\)) = 1.25 x

Therefore, number of days his petrol will how last = Amount of petrol in tank / amount of petrol used everyday = \(\frac{10x}{1.25x}\) = \(\frac{10}{1.25}\)10/1.25 = 8 Days

**5. In an examination, every candidate took physics or mathematics or both 65.8% took physics and 59.2% took mathematics the total number of candidates was 2000. How many candidates took both physics and mathematics?**

**Answer**: Option B

**Explanation**:

Let x% candidates take both the subjects.

Therefore, Percentage of candidates who opted physics = 65.8%

And the percentage of candidates who opted mathematics = 59.2%

Therefore, x =(65.8 + 59.2 – 100)%

= (125 -100)% = 25%

Also the total number of candidates = 2000

Therefore, Number of candidates who opted both the subjects = \(\frac{25}{100}\) x 2000 =500

**Answer**: Option C

**Explanation**:

Given that percentage of car owners = 80%

Percentage of mobile phone owners = 60%

Percentage of people having both car and mobile phone = 55%

Percentage of people having only car = 80 -55 = 25%

Percentage of people having only mobile phone = 60 -55 =5%

Percentage of people having car or mobile phone or both = 55% + 25% + 5% = 85%

**2. In a test a candidate attempted only 8 Questions and secured 50% marks in each of the questions if the obtained a total of 40% in the test and all questions in the test carried equal marks, how many questions were there in the test?**

**Answer**: Option B

**Explanation**:

Let the marks of each question be 10

Total marks got by the candidate = 8 x 5 = 40 marks

40% = 40 : 100 = 100

Therefore, Total number of questions = 10 \(\frac{100}{10}\) = 10

**3. A city has a population of 300000 out of which 180000 are males 50% of the population is illiterate if 70 % of the males are literate, then the number of literate females is**

**Answer**: Option A

**Explanation**:

Total population = 300000

Total number of males = 180000

Total literates = 5% of total population = 150000

Number of literate males = 70% of males = 126000

**4. In a company, 60% of the employees are men, of this 40 % are drawing more than Rs. 50000 per year. 36% of the total employees of the company draw more than Rs.50000 per year then what is the percentage of women who are drawing less than Rs. 5000 per year?**

**Answer**: Option A

**Explanation**:

Total number of employees be 100

Then number of men = \(\frac{6000}{100}\) = 60

Number of women = \(\frac{4000}{100}\) = 40

Therefore, a number of men drawing more than Rs. 50000 = \(\frac{24000}{100}\) = 24 men

Since the number of total employees drawing more than Rs. 50000 = \(\frac{3600}{100}\) = 36

Number of women who draw more than Rs. 50000 = 36- 24 = 12

Number of women who draw less than Rs. 50000 = 40 -12 = 28

Therefore, the Percentage of women who draw less than Rs. 50000 per year = \(\frac{28}{40}\) x 100% = 70%

**5. In an election between two candidates. One got 55 % of the total valid votes. 20 % of the votes were invalid. If the total number of votes was 7500. The number of valid votes that the other candidate got was**

**Answer**: Option A

**Explanation**:

Valid votes = (\(\frac{80}{100}\) x 7500) = 6000

Valid votes polled by one candidate

= (\(\frac{55}{100}\) × 6000) = 3300

Valid votes polled by another candidate

= (6000 – 3300) = 2700