## Simple and compound interest

[latexpage] Simple interest $SI = P*R*T/100$ P= principal amount R = rate/unit T = time/year month day etc. Compound interest $CI = P(1+\frac{R}{100})^n$ P= principal amount R= rate/unit T= time unit Where rate are difference for different unit or time. Than $C.I = p(1+\frac{R1}{100}) (1+\frac{R2}{100}) (1+\frac{R3}{100}) ……….$ Present worth of Rs x lac in year … Read more

## Percentage

[latexpage] To express $x\%$ as a fraction =$\frac{x}{100}$ Thus, $3\%$ = $\frac{3}{100}$ = $.03,$ $48\%$ = $\frac{48}{100}$ = $0.48$ = $\frac{12}{25}$ To express $\frac{a}{b}$ as a percentage, we have $\frac{a}{b}$ = $\frac{a*100}{b}$ Thus $\frac{1}{4}$ = $\frac{1*4}{100}$ = $\frac{25}{100}$ = 25% if the price of commodity increases by R% than the reduction in consumption so … Read more

## Surd and Indices

[latexpage] Law of indices 1. $a^ma^n = a^{m+n}$ 2. $\frac{a^m}{a^n} =a^{(m-n)}$ 3. ${(a^m )}^n = a^{mn}$ 4. ${(ab)}^n = a^n* b^n$ 5. $(\frac{a}{b})^n = \frac{a^n}{b^n}$ 6. $a^0 = 1$ laws of surds 1. $\sqrt[n]{a}= a^{\frac{1}{n}}$ 2. $\sqrt[n]{ab}= \sqrt[n]{a} * \sqrt[n]{b}$ 3. $\sqrt[n]{\frac{a}{b}}= \frac{\sqrt[n]{a}}{\sqrt[n]{b}}$ 4. $\sqrt[n]{a}^n = a$ 5. $\sqrt[m]{\sqrt[n]{a}} ={\sqrt[mn]{a}}$ 6. $(\sqrt[n]{a})^m = \sqrt[n]{a^m}$

## Boat and Stream

[latexpage] if the speed of a boat in still water is u km/h & the speed of the streams of v km/h than- speed towards downstream- $(u+v) km/h$ Speed towards up stream- $(u-v) km/h$ if the speed of boat in downstream u km/h and in upstream v km/h than speed in still water-$\frac{1}{2}(u+v) km/h$ rate … Read more

## Ratio & proportion

Ratio– The ratio of two a & b is a/b & is denoted a:b where a & b are called the terms of the ratio.; the ist term a is called antecedent & the second term b is called consequence . ratio of two quontities is just a number & has no unit at all … Read more

## Length Measurement

10 Millimeter=1 Centimeter 10 Centimeter= 1 Decimeter 100 Centimeter=1 Meter 1000 Meter=1 Kilometer 1 Inch =2.54 Centimeter 12 Inch =1 Foot =30.48 Centimeter 3 Feet=1 Yard=91.44 Centimeter =0.9144 Meter 220 Yard=1 Furlong=201.168 Meter 1760 Yard=8 Furlong=1 Mile=1609.344 Meter 1 Square Mile=640 Acre=27878400 Square Feet

## What Is 7/8 As A Percentage?

7/8 As A Percentage is 87.5 % Percent and fractions are the two terms that we generally use in comparing quantities. A fraction is represented as a numerical value that is defined as a part of a whole while percent, a relative value tells you how much of the whole you have and it is … Read more

## Factors of 108| Prime factorization of 108

Factors of 108 are the numbers that when multiplied in pairs give the product as 108. The factors of 108 consist of all the integers i.e. positive as well as negative whole numbers – 108 can be divided into such integers. Before we study about factors of 108, let’s have a quick recall about the … Read more

## a cube minus b cube a³ – b³ formula Proof Examples &Applications

What Is a cube minus b cube a³ – b³? The a³ – b³ formula is known as the subtraction of cubes (of two numbers) formula. It is simply read as a cube minus b cube. Without actually calculating the cubes, the cube minus b cube formula is used to find the difference between the … Read more

## How much is 1 million: In Rupees thousands lakhs dollars

1 million meaning In Mathematics, 1 million implies 1 thousand thousand. If we talk mathematically, then 1 million is a natural number which is preceded by 1000001 and followed by 999999. We rarely use millions in our daily life unlike lakhs, thousands, and hundreds. Therefore, to be honest most of us do not have a … Read more