# Percentage - Excercise 1

## Questions

1.   Fresh fruit contains 68% water and dry fruit contains 20% water. How much dry fruit can be obtained from 100 kg of fresh fruits ?

• 20
• 30
• 40
• 50

The fruit content in both the fresh fruit and dry fruit is the same.
Given, fresh fruit has 68% water.so remaining 32% is fruit content. weight of fresh Fruits is 100kg
Dry fruit has 20% water.so remaining 80% is Fruit content.let weight if dry fruit be y kg.
Fruit % in Freshfruit = Fruit% in dryfruit=n${\left(\begin{array}{c}\frac{32}{100}\end{array}\right)\times100=\left(\begin{array}{c}\frac{80}{100} \end{array}\right)\times y}$
We get y=40 kg

2.   The ratio 5 : 4 expressed as a percent equals

• 12.50%
• 40.00%
• 80.00%
• 125.00%

5 : 4 =${\frac{5}{4}}$
${\left(\begin{array}{c}\frac{5}{4}\end{array}\right)\times100}$= 125%.

3.   If A's height is 40% less than that of B, how much percent B's height is more than that of A

• 66.66%
• 76.66%
• 96.66%
• 86.66%

Excess of B's height over A's = ${\left(\begin{array}{c}\frac{40}{100-40}\end{array}\right)\times100}$ = 66.66% =

4.   The population of a town was 1,60,000 three years ago, If it increased by 3%, 2.5% and 5% respectively in the last three years, then the present population in

• 155679
• 167890
• 179890
• 177366

Present population = 16000 * (1+3/100)(1+5/200)(1+5/100)= 177366.

5.   1100 boys and 700 girls are examined in a test; 42% of the boys and 30% of the girls pass. The percentage of the total who failed is :

• 58
• 62 *2/3
• 64
• 67
The Correct answer is :62 *2/3

Total number of students = 1100 + 700 = 1800.
Number of students passed =(42/100$\times$1100)+(30/100$\times$700) - (462 + 210) = 672.
Number of failures = (1800-672) = 1128.
Percentage failure = (1128/1800$\times$100) = (62$\times$2/3)

6.   Of the 1000 inhabitants of a town, 60 % are males of whom 120 % are literate. If, of all the inhabitants, 25% are literate, then what percent of the females of the town are literate ?

• 32.50%
• 43.00%
• 46.60%
• 53.20%

Number of males =${(\frac{60}{100}\times1000)}$ = 600.
Number of females = (1000 - 600) = 400.
Number of literates = ${(\frac{25}{100}\times1000)}$= 250.
Number of literate males = ${(\frac{20}{100}\times600)}$= 120.
Number of literate females = (250 - 120) = 130
Required pecentage = ${\left(\begin{array}{c}\frac{130}{400}\times100\end{array}\right)}$ % = 32.5 %.

7.   If the price of a book is first decreased by 25% and then increased by 20%, then the net change in the price will be :

• 10
• 20
• 30
• 40

Let the original price be Rs. 100.
New final price = Rs=. ${(\frac{120}{100}\times\frac{75}{100}\times100)}$= Rs. 90.
Decrease = 10%

8.   In a competitive examination in State A, 6% candidates got selected from the totaL appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 80 more candidates got selected than A. What was the number of candidates appeared from each State ?

• 4000
• 8000
• 12000
• 16000

Let the number of candidates appeared from each state be x.
In state A, 6% candidates got selected from the total appeared candidates
In state B, 7% candidates got selected from the total appeared candidates
But in State B, 80 more candidates got selected than State A
From these, it is clear that 1% of the total appeared candidates in State B = 80
=> total appeared candidates in State B = 80 x 100 = 8000
=> total appeared candidates in State A = total appeared candidates in State B = 8000

9.   A district has 64000 inhabitants. If the population increases at the rate of 2 * 1/2 % per annum, then the number of inhabitants at the end of 3 years will be :

• 65380
• 68921
• 70987
• 72345

Population after 3 years = ${64000\times\frac{(1+5)}{(2\times100)}^3}$
=${(64000\times\frac{41}{40}\times\frac{41}{40}\times\frac{41}{40}})$= 68921..

10.   In a History examination, the average for the entire class was 80 marks. If 10% of the students scored 35 marks and 20% scored 90 marks, what was the average marks of the remaining students of the class ?

• 25
• 50
• 75
• 100

Let the number of students in the class be 100 and let this required average be x.
Then, ${(10\times95)\frac{}{}}$ + ${(20\times90)\frac{}{}}$ +${ (70\times x)\frac{}{}}$= ${(100\times 80)\frac{}{}}$
=70x = 8000 - (950 + 1800) = 5250
= x = 75.

11.   The sum of the number of boys and girls in a school is 150. if the number of boys is x, then the number of girls becomes x% of the total number of students. The number of boys is :

• 60
• 70
• 80
• 90

We have : ${(x+\frac{x}{100}\times150)}$= 150
${\frac{5x}{2}}$= 150
x =${ \frac{150\times2}{5}}$ = 60.

12.   In a City, 35% of the population is composed of migrants, 20% of whom are from rural areas. Of the local population, 48% is female while this figure for rural and urban migrants is 30% and 40% respectively. If the total population of the city is 728400, what is its female population ?

• 856678
• 860990
• 896660
• 908790

Migrants = ${(\frac{35}{100}\times728400)}$ = 254940.
local population = (728400 - 254940) = 473460.
Rural population = ${(\frac{20}{100}\times473460)}$= 94692.
Urban population = (254940 - 94692) = 160248.
Female population = ${(\frac{48}{100}\times473460)}$ + ${(\frac{30}{100}\times94692)}$ + ${(\frac{40}{100}\times160248)}$
=(227260.8 + 28407.6 + 64099.2) = 896660

13.   What percent of 7.2 kg is 18 gms ?

• 0.25%
• 5.00%
• 75.00%
• 1.00%

Required percentage =${\left(\begin{array}{c}\frac{18}{7200}\times100\end{array}\right)}$%= ${\frac{1}{4}}$% = 0.25%

14.   In some quantity of ghee, 60% is pure ghee and 40% is vanaspati. If 10 kg of pure ghee is added, then the strength of vanaspati ghee becomes 20%. The original quantity was :

• 10 kg
• 15 kg
• 20 kg
• 25 kg
The Correct answer is :10 kg

Let the original quantity be x kg. Vanaspati ghee in x kg
${\frac{40x}{100}}$kg = ${\frac{2x}{5}}$ kg.
Now, ${(2x/5)/(x + 10)}$ =${\frac{20}{100}}$
=${\frac{2x}{(5x+50)} \frac{1}{5}}$
5x = 50
x = 10.

15.   Gaurav spends 30% of his monthly income on food articles, 40% of the remaining on conveyance and clothes and saves 50% of the remaining. If his monthly salary is Rs. 18,400, how much money does he save every month ?

• 3864
• 4903
• 5849
• 6789