WORD PROBLEMS ON FINDING PERCENT OF QUANTITY

Problem 1 :

Li scored 75% in her test out of 32. What mark did she score ?

Solution :

Total score = 32

Percentage of marks scored by Li = 75%

= 75% of 32

= 0.75(32)

= 24

So, he has score 24 marks out of 32.

Problem 2 :

John scored 70% for an examination marked out of 120. How many marks did he actually get ?

Solution :

Total marks = 120

Percentage of marks scored by John = 70%

John has scored = 70% of 120

= 0.70 (120)

= 84

So, John has scored 84 marks.

Problem 3 :

A Petroleum company claims that cars using new premium unleaded fuel will travel 112% of the distance travelled on regular unleaded. If Geoff can travel 584 miles on a tank of regular fuel, how far should he be able to travel on premium unleaded ?

Solution :

Geoff can cover the distance of 584 miles using regular fuel.

Distance he can cover using unleaded fuel = 112% of 584

= 1.12(584)

= 654.08 miles

So, he can cover 654 miles using premium unleaded fuel.

Problem 4 :

Paula receives 7 1/2% of the net profits on a book she helped to write. If the net profits this year is $38700, how much will she receive in royalties.

Solution :

Net profit = 38700

= 7 1/2 % of 38700

= 15/2% of 38700

= 7.5% of 38700

= 0.075 (38700)

= 2902.5

So, she will get $2902.

Problem 5 :

Nicki is part of syndicate that owns researchers. He owns 28% of Peter Pan, who last week won $18600 in the derby. How much should Nicki receive ?

Solution :

Percentage of money won by Peter Pan = 18600

Amount Nicki has = 28% of 18600

= 0.28 (18600)

= 5208

Problem 6 :

A restaurant charges 7  1/2% service on the total bill. If Jack and Jill buy food and wine to the value of $54, how much will they have to pay

(a) a service

(b) in total ?

Solution :

(a) Value of food that Jack and Jill buy = $54

Service charge = 7  1/2% of 54

= 15/2% of 54

= 0.075 (54)

= 4.05

(b) In total they have to pay = 54 + 4.05

= 58.05