*QUESTION 1:*

*Convert the given fractional numbers to percent:*

*(a) 1/3 (b)6/5 (c)4/25 (d)3/7*

*Solution;*

** (a)** 1/3 = (1/3) x 100% = 100/3 = 33.33%

** (b)** 6/5 = (6/5) x 100% = 6 x 20 = 120%

** (c)** 4/25 = (4/25) x 100% = 16%

** (d)** 2/7 = (2/7) x 100% = 28.57%

* *

*QUESTION 2:*

*Express the given decimal numbers in percentages.*

*(a) 0.31 (b)0.03 (c)19.62 (d)0.007*

*Solutions;*

** (a)** 0.31 = (31/100) x 100% = 31%

** (b)** 0.03 = (3/100) x 100% = 3%

** (c)** 19.62 = (1962/100) x 100% = 1962%

** (d)** 0.007 = (7/1000) x 100% = 0.7%

* QUESTION 3:*

*Find what part of the following figures is colored; also find the percentage of the colored part.*

*Solutions;*

** (i)** Colored part = 1/4

Therefore, percentage of the colored portion = (1/4) x 100% = 25%

** (ii)** Colored portion = 3/5

Therefore, percentage of the colored portion = (3/5) x 100 =60%

** (iii)** Colored portion = (3/8) x 100% = 37.5%

*QUESTION 4:*

** Calculate** :

*(a) 15% of 450 (b) 2% of 2 hour*

* (c) 10% of ₹2600 (d) 50% of 5 kg*

*Solutions;*

** (a)** 15% of 450 = (15/100) x 450 = 67.5

** (b)** 2% of 2 hours= 2% of (2×3600) secs (Since 1 hour = 60 x 60 secs)

= (2/100) x 7200 =144secs.

** (c)** 10% of Rs.2600 = (10/100) x 2600

=Rs.260

** (d)** 50% of 5kg = 50% of (5000g) (Since 1kg = 1000g)

= (50/100) x 5000

= 2500 g or 2.5kg

* *

* QUESTION 5:*

*Calculate the total quantity if:*

* (a) 5% of it is 100 *

*(b) 10% of it is ₹1060*

*(c) 20% of it is 800 km*

*(d) 90% of it is 18 minutes*

*(e) 9% of it is 60 liters*

*Solutions;*

let the total quantity be Y in all above cases,

** (a)**5% of Y = 100

=> (5/100) x Y =100

=> Y=(100×100)/5 =2000

** (b)**10% of Y = 1060

=> (10/100) x Y = 1060

=> Y = (1060 x 100)/10 = Rs.10600

** (c)**20% of Y = 800

=> (20/100) x Y = 800

=> Y = (800 x 100)/20 = 4000km

** (d)** 90% of Y = 18min

=> (90/100) x Y = 18

=> Y=(18 x 100)/90 =20mins.

** (e)** 9% of Y = 60

=> (9/100) x Y = 60

=> Y = (60 x 100)/9 =666.66liters.

*QUESTION 6:*

*Convert the following percentages to fractions , simplest fractions and decimal numbers:*

*(a)20% (b)25% (c)5% (d)120%*

*Solution;*

Percentage |
Fractions |
Simplest Fraction |
Decimal Numbers. |

20% | 20/100 | 1/5 | 0.2 |

25% | 25/100 | 1/4 | 0.25 |

5% | 5/100 | 1/20 | 0.05 |

120% | 120/100 | 6/5 | 1.2 |

*QUESTION 7: *

*12000 voters constituted a constituency, out of which 80% voted. What percentage and number of voters did not vote?*

*Solution;*

Given,

Total no. of voters = 12000

Percentage who voted = 80%

Thus, percentage who did not vote = 100 -80 = 20%

Therefore, the number of people who did not vote = 20% of 12000

= (20/100) x 12000 = 2400

*QUESTION 8: *

*Sanjay saves Rs.5000 every month, if this is 20% of his salary. What is his monthly salary?*

*Solution;*

Let Sanjay’s salary be Y

Now, 20% of Y = 5000

(20/100) x Y = 5000

Y = Rs.25000

Therefore,Sanjay’s salary is Rs.25000

*QUESTION 9: *

*A local**dota team played 10 matches in a season. If they won 40% of their matches, in how many matches do they win?*

*Solution;*

Given,

Number of matches played by the dota2 team =10

Percentage of matches won = 40%

Therefore, total matches they were victorious in = 40% of 10

= (40/100) x 10

=4.