Yak Aptitude : Pct Problems Amongst Explanations - Introduction
Hi friends, give thank you lot you thence much for the non bad reply to my yesterday's ship service on Partnership problems. Today I am posting the introduction together with problems on Percentage. In this ship service i am roofing the basic details of percentage, from our adjacent ship service nosotros shall encompass the problems alongside Higher difficulty level. Happy Reading :)
Percentage Problems Introduction
fifty percent agency fifty out of 100.
The symbol % is used to announce percent.
Ex : 20%, 35%, 80% etc.
Percent to fraction : To convert percent into fraction, dissever the percent yesteryear 100.
Ex : 25% = 25/100 = 1/4
Fraction to percent : To convert fraction into percent, multiply the fraction yesteryear 100.
Increment Percent = (Increment/Source) x 100
Ex : Increment % inward five together with three is (3/5) x 100 = 60%
Decrement Percent = (Decrement/Source) x 100
Ex : Decrement % inward five together with 8 is (5/8) x 100 = 37.5%
Some of import Percent / Fractions
100% = 1
50% = 1/2
25% = 1/4
20% = 1/5
40% = 2/5
60% = 3/5
16 2/3% = 1/6
33 1/3% = 1/3
66 2/3% = 2/3
12.5% = 1/8
6.25% = 1/16
75% = 3/4
80% = 4/5
10% = 1/10
125% = 5/4
37 1/2% = 3/8
87 1/2% = 7/8
Following rules should last kept inward take away heed for solving the questions on percentage
- For converting a given per centum into a fraction, dissever it yesteryear 100 or multiply yesteryear 1/100.
- For converting a given fraction into a per centum multiply it yesteryear 100.
- For converting 1 given quantity, say, x equally a per centum of to a greater extent than or less other given quantity nation y, find (x/y) x 100
- Note : Percentage is never expressed inward whatsoever unit of measurement similar rupees or kilos.
- When at that topographic point are 2 articles 'a' together with 'b' inward a grouping together with inward the ratio of a : b then to limited whatsoever 1 article equally a per centum of the group, dissever the article yesteryear the full articles of the grouping together with multiply the whole yesteryear 100.
Now let's run into to a greater extent than or less basic Examples :
Example1 : Express 15% equally a fraction
Solution :
15% = 15/100 or 3/20
Example 2 : Express 1/5 equally a percentage
Solution :
1/5 x 100 = twenty i.e. 20%
Example 3 : Find out 20% out of Rs. 650
Solution :
equally nosotros know, 20% = 20/100
Example 4 : How many percent is xv cm of 1 metre ?
Solution :
Note : Both quantities are covered into same unit.
Example 5 : Influenza A virus subtype H5N1 someone spent 85% of his monthly income together with thereafter saves Rs. 360 per month. Find out his full income.
Solution :
Suppose his monthly income is Rs. 100
Expenditure = 85% = Rs. 85
Saving = Rs. 100 - 85 = Rs. 15
If saving is Rs. xv , together with then income is Rs. 100
If saving is Rs. 360, together with then the income is = (100 x 360) / 15 = Rs. 2400
Example 6 : If a pupil gets 38 marks out of 50, what is the per centum of his obtained marks ?
Solution :
Percentage of obtained marks = (38/50) x 100 = 76%
Example 7 : If 2 numbers are respectively 30% together with 40% to a greater extent than than a 3rd number, what per centum is the kickoff of the mo ?
Solution :
Let the 3rd publish last 100
First publish = 100 + 30% of 100 = 130
together with Second publish = 100 + 40% of 100 = 140
=> Percentage of the kickoff publish to the mo publish to the mo number = (130 x 100) / 140
= 92.85
Example 8 : Influenza A virus subtype H5N1 pupil scores 20% marks together with fails yesteryear xxx marks spell to a greater extent than or less other pupil who scores 32% marks, gets 42 marks to a greater extent than than the minimum required boot the bucket marks. What are the maximum marks for the exam ?
Solution :
Example 9 : An applied scientific discipline pupil has to secure 50% marks to pass. He gets 163 marks together with fails yesteryear 37 marks. Find the maximum marks.
Solution :
Minimum marks required = 163 + 37 = 200
If fifty are the minimum marks together with then maximum marks = 100
=> twenty are the minimum marks, together with then maximum marks = (100 x 200) / 50 = 400
shared yesteryear Aindree Mukherjee
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