Category : 5th Class
ARITHMETIC
FUNDAMENTALS
Ratio and Proportion
Example: If a: b: c: d then the statement ad = be, holds good.
If a: b and b: c are in proportion such that \[{{b}^{2}}\]=
Ac than b is called the mean proportional of a: b and b: c
Elementary Questions
Q. If\[5:6=a:18\], then\[a=?\]?
Sol. \[\frac{5}{6}-\frac{a}{18}=5\times 18=a\times 6\]
\[\Rightarrow a=\frac{5\times 15}{6}=15\]
Elementary Question:
Q. \[\frac{37}{25}\]can also be written as,
(a)\[\frac{147}{99}\] (b)\[\frac{149}{101}\] (c)\[\frac{148}{100}\] (d)\[\frac{152}{97}\]
Sol. \[\frac{37}{25}=\frac{37\times 4}{25\times 4}=\frac{148}{100}\]
Percentage
Example:\[\frac{2}{5}=\frac{2}{5}\times 100%=40%\]
(ii)\[25%=\frac{25}{100}=+\frac{1}{4}\]
Example:
(i)\[0.36=0.36\times 100%\]
(ii) \[43%=\frac{43}{100}=0.43\]
Simple Internet
A= Amount
B= Principle
R= Rate
T= Time
\[S.I.=\frac{P\times R\times T}{100}\]
(Simple Interest)\[S.I.=A-P\]
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