Percentage – basics, definition, formula, question

Percentage : சதவீதம்

of = multiple

ன் = multiple

Percentage example

PERCENTAGEFRACTIONDECIMAL NUMBER
PERCENTAGE
FRACTION
8% \frac{8}{100} \\ 0.08\frac{8}{100} \times \frac{1}{100} \\
15% \frac{15}{100} \\ 0.15 \frac{15}{100} \times \frac{1}{100} \\
23% \frac{23}{100} \\ 0.23 \frac{23}{100} \times \frac{1}{100} \\
37% \frac{37}{100} \\ 0.37 \frac{37}{100} \times \frac{1}{100} \\
45% \frac{45}{100} \\ 0.45 \frac{45}{100} \times \frac{1}{100} \\
183% \frac{183}{100} \\ 1.83 \frac{183}{100} \times \frac{1}{100} \\
292% \frac{292}{100} \\ 2.92 \frac{292}{100} \times \frac{1}{100} \\
753% \frac{753}{100} \\ 7.53 \frac{753}{100} \times \frac{1}{100} \\
1284% \frac{1284}{100} \\ 12.84 \frac{1283}{100} \times \frac{1}{100} \\
81987% \frac{81987}{100} \\ 819.87 \frac{81987}{100} \times \frac{1}{100} \\
654321% \frac{654321}{100} \\ 6543.21 \frac{654321}{100} \times \frac{1}{100} \\
DIFFERENT DECIMAL PERCENTAGE EXAMPLE
DECIMAL PERCENTAGEFRACTION
12.2 \frac{122}{10} \times \frac{1}{100} \\
232.22 \frac{23222}{100} \times \frac{1}{100} \\
1.242 \frac{1242}{1000} \times \frac{1}{100} \\
25.3456 \frac{253456}{10000} \times \frac{1}{100} \\
QUESTION 01

Find the value of 28% of 450?

ANSWER

= \frac{28}{100} \times 450 \\

=126

QUESTION 02

Find the missing term 9% of ___ =63

ANSWER
\frac{9}{100} \times x = 63 \\

x = 63 \times \frac{100}{9} \\

x = 700

QUESTION 03

If 15% of x = 20% of y then find x:y

ANSWER
\frac{15}{100} \times x = \frac{20}{100} \times y \\ \frac{3}{20} \times x = \frac{1}{4} \times y \\ 3x=\frac{20}{4} \times y \\ 3x=4y \\

Ratio \frac{x}{y}=\frac{4}{3} \\

x:y = 4:3

QUESTION 04

Find the value of 28% of 450 + 45% of 280 is

ANSWER

= \frac{28}{100} \times450 + \frac{45}{100} \times 280 \\

= 14\times 9 + 9 \times 14 \\

= 126+126

= 252

QUESTION 05

Find the value of (0.05% of 45 ) + (0.09% of 25) =?

ANSWER

=(\frac{5}{100} \times \frac{1}{100} \times 45)+( \frac{9}{100} \times \frac{1}{100} \times 25) \\

= \frac{15}{10000} (15+15) \\

=(\frac{15 \times 15}{10000}) \\

=0.0225

QUESTION 06

Find the value of (0.85% of 405) + (2.25% of 550) =?

ANSWER

=(\frac{85}{100} \times \frac{1}{100} \times 405)+( \frac{225}{100} \times \frac{1}{100} \times 550) \\

= \frac{225}{10000} (153+550) \\

=(\frac{225 \times 703}{10000}) \\

=15.8175

QUESTION 07

Find the missing term 36% of 245 – 40% of 210 = 10 –?

ANSWER

Let 36\% \text{ of } 245-40\%\text{of} 210 = 10-x \\

(\frac{36}{100}\times245)-(\frac{40}{100}\times210)=10-x \\

88.20-84=10-x

4.20=10-x

x=\frac{10}{4.20} \\

x=5.8

QUESTION 08
45\% of 300 +\sqrt{?} = 56\% of 750 – 10\% of 250 \\

ANSWER

\left(\frac{45}{100} \times 300\right) +\sqrt{x}=\left(\frac{56}{100} \times 750\right)-\left(\frac{10}{100} \times 250\right) \\  135+\sqrt{x} =420-25 \\ 135+\sqrt{x} =395 \\ \sqrt{x} =395-135 \\ \sqrt{x} =260 \\ x =(260)^{2} \\ x =67600 \\
QUESTION 09

If 20\% of A=B and 40 \% of B=C then find 60 \% (A+b)

ANSWER
\frac{20}{100} \times A=B \quad \frac{40}{100} \times B=C \\ 1 A=5 B \quad 2 B=5 C \\ A: B=5: 1 \quad B: C=5: 2 \\
percentage formula
A:B:C=25:5:2 \\ 60 \%(A+B)=\frac{60}{100} \times(25+5) =\frac{60}{100} \times 30 \\

=18

QUESTION 10

Find the value of x if 20 \% of x=50

ANSWER
\frac{20}{100} x=50 \\ x=250 \\
QUESTION 11

Find the value of 0.75 \% of 40 kg

Answer
=\frac{75}{100}\times\frac{1}{100}\times 40 \\

=0.3

QUESTION 12

What percent is 15paise of 2 rupees 70paise?

2 ரூபாய் 70 பைசாவில் 15 பைசா எத்தனை சதவீதம் ? 

ANSWER

1Rupees =100paise

2Rupees 70paise = 200paise + 70paise

=270paise

=\frac{15}{270} \times 100 \\ =\frac{50}{9} \\ =5\frac{5}{9} \% \\
QUESTION 13

280 candidates appeared for an examination of which 252 passed . The failed percentage is 

ஒரு தேர்வில் 280 பேர் கலந்து கொண்டவர்களில் 252 பேர் தேர்ச்சி பெற்றனர் எனில் தேர்ச்சி பெறாதவர்களின் சதவீதம்

ANSWER

Total candidates Appeared/ கலந்து கொண்ட நபர்கள் =280

Total candidates Passed/தேர்ச்கி பெற்ற நபர்கள் =252

Total candidates failed/தேர்ச்சி பெறாத நபர்கள் =280-252=28

Percentage of candidates failed/தேர்ச்சி மெறாத நபர்களின் சதவீதம்

=\frac{28}{280} \times 100=10 \% \\
QUESTION 14

In an examination 35 % of students passed and 455 failed . Total number of students appeared for the ex amination is

ஒரு தேர்வில் 35 சதவீதம் மாணவர்கள் தேறியுள்ளனர் . 455 பேர் தோல்வி அடைந்தனர் எனில் , தேர்வில் கலந்து கொண்ட மொத்த மாணவர்கள் எண்ணிக்கையானது

ANSWER

Percentage of students passed is 35 \%

Percentage of students failed is 65 \%

\frac{455}{65}

7

7\times35

245

so,

total students appeared=455+245

=700

QUESTION 15

The price of a house is decreased from rupees fifteenlakhs to rupees twelve lakhs . Find the percent age of decrease .

ஒரு வீட்டின் விலை , 15 இலட்சம் ரூபாயில் இருந்து , 12 லட்சம் 21 ரூபாயாகக் குறைந்தது எனில் குறைந்த சதவீதம் காண்க

ANSWER

Reduced price/ குறைந்த விலை =1500000-1200000

=300000

\% of decrease/ குறைந்த சதவீதம்

=\frac{300000}{1500000}\times100 =20\%

QUANTITATIVE APTITUDE STUDY MATERIAL

Ration and proportional

Simplification

Percentage

Number series

L.C.M and H.C.F

Simple Interest

Compound Interest

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