# PERCENTAGE

A fraction with denominator 100 is called percentage. Numerator of that fraction is called rate percent.
* The term percent means per every 100.
* 50 percent means 50 out of 100.
* The symbol  % is used to denote percent. Ex: 20%, 35%, 80% etc.

Percent to fraction: To convert percent into fraction, divide the percent by 100. Fraction to percent: To convert fraction into percent, multiply the fraction by 100. Increment percent = Ex: increment % in 5 and 8  is  3/5  × 100 = 60%.
Decrement percent  = Ex. Decrement % in 5 and 8 is 5/8  × 100 = 37.5%.

Some important percent /fractions. Following rules should be kept in mind for solving the questions on percentage
1. For converting a given percentage into a fraction, divided it by 100 or multiply by 2. For converting a given fraction into a percentage multiply it by 100.
3. For converting one given quantity, say, x as a percentage of another given quantity, say, y find Note - percentage is never expressed in any unit like rupees or kilos.
4. When there are two articles ‘a’ and ‘b’ in a group and in the ratio of a : b then to express any one article as a percentage of the group, divide the article by the total articles of the group and multiplies the whole by 100.
Percentage of ‘a’ = And, Percentage of ‘b’ = EXAMPLES Example 4. How many percent is 15 cm of 1 metre? Note: Both quantities are converted into same unit.

Example 5.  A person spent 85% of his monthly income and thereafter saves Rs.360 per month. Find out his total income.
Sol: Suppose his monthly income is Rs. 100
Expenditure = 85% = Rs. 85
Saving = Rs. 100 – 85 = Rs. 15
∴  If saving is Rs. 15 income is Rs. 100
∴  If saving is Rs. 360 income is = Rs. 2400
Example 6. If a student gets 38 marks out of 50, what is the percentage of his obtained marks?
Sol:  Percentage of obtained marks = 76%

Example 7.  If two numbers are respectively 30% and 40% more then a third number, what percentage is the first of the second?
Sol: Let the third number be 100
∴ First number  = 100 + 30% of 100
= 130
and Second number   = 100 + 40% of 100
= 140
∴ Percentage of the first number to the second number to the second number Example 8. A student scores 20% marks and fails by 30 marks while another student who scores 32% marks, gets 42 marks more than the minimum required pass marks. What are the maximum marks for the examination?
Sol:   32% - 20% = 12%
And 42–(-30) = 72
∴ 12% marks = 72
∴ 100% marks = Example 9.  An engineering student has to secure 50% marks to pas. He gets 163 marks and fails by 37 marks. Find the maximum marks
Sol: Minimum marks required = 163 + 37  = 200
If 50 are the minimum marks then maximum marks  = 100
∴  200 are the minimum marks then maximum marks = Posted Date : 10-02-2021

గమనిక : ప్రతిభ.ఈనాడు.నెట్‌లో కనిపించే వ్యాపార ప్రకటనలు వివిధ దేశాల్లోని వ్యాపారులు, సంస్థల నుంచి వస్తాయి. మరి కొన్ని ప్రకటనలు పాఠకుల అభిరుచి మేరకు కృత్రిమ మేధస్సు సాంకేతికత సాయంతో ప్రదర్శితమవుతుంటాయి. ఆ ప్రకటనల్లోని ఉత్పత్తులను లేదా సేవలను పాఠకులు స్వయంగా విచారించుకొని, జాగ్రత్తగా పరిశీలించి కొనుక్కోవాలి లేదా వినియోగించుకోవాలి. వాటి నాణ్యత లేదా లోపాలతో ఈనాడు యాజమాన్యానికి ఎలాంటి సంబంధం లేదు. ఈ విషయంలో ఉత్తర ప్రత్యుత్తరాలకు, ఈ-మెయిల్స్ కి, ఇంకా ఇతర రూపాల్లో సమాచార మార్పిడికి తావు లేదు. ఫిర్యాదులు స్వీకరించడం కుదరదు. పాఠకులు గమనించి, సహకరించాలని మనవి.