Questions to Practice Percentage for Quantitative Techniques

Questions to Practice Percentage for Quantitative Techniques

  • The captain of Indian football team has scored 300 goals in total. If 55% of these goals were scored in International matches, how many goals has he scored in National Matches?

  • As per an expert, the value of an antique showpiece is bound to increasing at 15% every year. If this antique show piece was bought at Rs. 15000​​ in 2015, find its value in 2017.

  • In an Army Residential colony, 70% of the employees are on non-officer ranks and among the officers 25% are Captain. Find the number of officers that are not captains if total no. of people residing are 400.

  • What percentage of dates in the month of July have ‘1’ in it?

  • In the numbers from 1 to 100, what percentage of numbers have 1 in Unit’s​​ or​​ ten’s​​ place?

  • Due to the economic​​ recession caused by the lockdown in the country, Shyam’s salary dropped by 26% and his new salary is Rs. 17000. Find the salary before lockdown happened.

  • Riya and Siya went for dress shopping where they both bought the dress from the sae shop. If the​​ total Price of the both dresses is Rs. Rs. 30000 and Dress bought by Riya is​​ 1500 more than 70% of Siya’s dress. Find the price of dress bought by Siya.

  • The people dying because of diseases caused by bad lifestyle has increased from 50000 each year to 250000 each year in 4 years. Find the average percentage increase of each year.

  • Because of the price drop of Petrol and diesel, the price of vegetables dropped by 22%, what percent of steel must be bought to keep the expenditure unchanged.

DO IT YOURSELF!!

If 1000 is​​ 33.33% less than 1500, by what​​ percentage is 1500 more than 1000?

 

ANSWERS WITH EXPLANATION


1. Goals scored in International matches = (55/100)*300

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 165

Goals​​ scored​​ in National matches = 300 – 165 = 135

 

2. ​​ Value of showpiece in 2016 = 15000 + (15/100)*15000

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 15000+ 2250​​ 

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = Rs. 17250

Value of showpiece in 2017 = 17250 + (15/100)*17250

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ =​​ 19837.5

 

3. ​​ No. of officers = 400 – ( 70/100)*400

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 400- 280

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 120

No. of officers that are not captain = 120 – (25/100)*120

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 120 – 30

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 90

 

4. ​​ Total no. Of days in July = 31

No. of days with 1 in it = 13

Percentage = (13/31)* 100

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 41.9%

 

5. Total no. of numbers with one in one’s and ten’s place = 19

Total no.’s = 100

Required Percentage = (19/100)*100 = 19%

 

6. Let the original salary be x.

X – (26/100)*x ​​ = 17000

X = Rs. 22972 ( approx.)

 

7. ​​ Total price = Rs. 30000

Let the price of dress brought by Siya be x.

Price of dress brought by Riya = 30000 – x

As per the question,

30000 – x = (70/100)*x + 1500

X = Rs. 16764

 

8. Percentage increase in deaths = [(250,000-​​ 50000)/50000] *100

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = (200000/50000)*100

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 400%

Average percentage each year = 400/4 = 100% each year

 

9  ​​ ​​​​ Here, the price has reduced by 22%, and therefore,

Percent of vegetable more that should be bought in order to keep the expenditure unchanged =[ m/(100-m) *100] %

= [ 22/(100-22)*100]

= 25%

Read the theory on Simple and Compound Interest here.

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