Data Interpretation formulae

  • Average speed = 2xyx+y\frac{2xy}{x+y}

  • Successive percentage = x+y−(xyx+y)x+y-\left(\frac{xy}{x+y}\right)

  • S.P. with 3 or more discounts = MP * (100−x100)⋅(100−y100)⋅(100−z100)\left(\frac{100-x}{100}\right)\cdot\left(\frac{100-y}{100}\right)\cdot\left(\frac{100-z}{100}\right) [for x%, y% and z% discounts]

  • Circumference of sphere / circle = 2πr2\pi r

  • Surface area of sphere = 4πr24\pi r^2

  • Volume of sphere = 43πr3\frac43\pi r^3

  • Area of circle = πr2\pi r^2

  • Perimeter of rectangle = 2*(l+b)

  • Volume of rectangle = l*b*h

  • Curved surface area (CSA) of cylinder = 2πrh2\pi rh

  • Volume of cylinder = πr2h\pi r^2h

  • Total surface area (TSA) of cylinder) = 2πr(h+r)2\pi r\left(h+r\right)

  • Base area of cylinder = πr2\pi r^2

  • Simple interest : I=PRT100I=\frac{PRT}{100}

  • Compound interest (when compounded annually) : I=P(1+R100)T−PI=P\left(1+\frac{R}{100}\right)^{T}-P

  • Compound interest (when compounded half-yearly) : I=P(1+R200)2T−PI=P\left(1+\frac{R}{200}\right)^{2T}-P

  • Compound interest (when compounded monthly) : I=P(1+R1200)12T−PI=P\left(1+\frac{R}{1200}\right)^{12T}-P

  • Compound interest (when compounded quarterly) : I=P(1+R400)4T−PI=P\left(1+\frac{R}{400}\right)^{4T}-P


Equivalent fractions & their percentages


12=50%\frac12=50\%

13=33.33%\frac13=33.33\%

14=25%\frac14=25\%

15=20%\frac15=20\%

16=16.67%\frac16=16.67\%

17=14.29%\frac17=14.29\%

18=12.5%\frac18=12.5\%

19=11.11%\frac19=11.11\%

110=10%\frac{1}{10}=10\%

111=9.09%\frac{1}{11}=9.09\%

112=8.33%\frac{1}{12}=8.33\%

113=7.69%\frac{1}{13}=7.69\%

114=7.14%\frac{1}{14}=7.14\%

115=6.67%\frac{1}{15}=6.67\%

116=6.25%\frac{1}{16}=6.25\%

117=5.88%\frac{1}{17}=5.88\%

118=5.56%\frac{1}{18}=5.56\%

119=5.26%\frac{1}{19}=5.26\%

120=5%\frac{1}{20}=5\%