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<html><table height="500" width="1000" border="2"><TR height="5" width="1000"><strong><center><marquee><font color="Green"><h1>APTITUDE</h1></center></strong></font></TR></marquee><TR><TD align="left" width="200" valign="top"><table><TR><a href="numbers.html"><strong>Numbers</strong></a></TR><br><TR><a href="hcf.html"><strong>H.C.F and L.C.M</strong></a></TR><br><TR><a href="dec.html" ><strong>Decimal Fractions</strong></a></TR><br><TR><a href="simplification.html"><strong>Simplification</strong></a></TR><br><TR><a href="squareandcuberoot.html" ><strong>Square and Cube roots</strong></a></TR><br><TR><a href="average.html" ><strong>Average</strong></a></TR><br><TR><a href="pnumbers.html" ><strong>Problems on Numbers</strong></a></TR><br><TR><a href="problemsonages.html"><strong>Problems on Ages</strong></a></TR><br><TR><a href="surdsandindices.html"><strong>Surds and Indices</strong></a></TR><br><TR><a href="percent.html" ><strong>Percentage</strong></a></TR><br><TR><a href="profitandloss.html" ><strong>Profit and Loss</strong></a></TR><br><TR><a href="ratioandproportion.html" ><strong>Ratio And Proportions</strong></a></TR><br><TR><a href="partnership.html"><strong>Partnership</strong></a></TR><br><TR><a href="chainrule1.html"><strong>Chain Rule</strong></a></TR><br><TR><a href="timeandwork.html" ><strong>Time and Work</strong></a></TR><br><TR><a href="pipesandcisterns.html" ><strong>Pipes and Cisterns</strong></a></TR><br><TR><a href="timeanddistance.html"><strong>Time and Distance</strong></a></TR><br><TR><a href="trains.html" ><strong>Trains</strong></a></TR><br><TR><a href="boats.html"><strong>Boats and Streams</strong></a></TR><br><TR><a href="alligation.html"><strong>Alligation or Mixture </strong></a></TR><br><TR><a href="simple.html" ><strong>Simple Interest</strong></a></TR><br><TR><a href="CI.html"><strong>Compound Interest</strong></a></TR><br><TR><a href=""><strong>Logorithms</strong></a></TR><br><TR><a href="areas.html" ><strong>Areas</strong></a></TR><br><TR><a href="volume.html"><strong>Volume and Surface area</strong></a></TR><br><TR><a href="races.html" ><strong>Races and Games of Skill</strong></a></TR><br><TR><a href="calendar.html" ><strong>Calendar</strong></a></TR><br><TR><a href="clocks.html" ><strong>Clocks</strong></a></TR><br><TR><a href="" ><strong>Stocks ans Shares</strong></a></TR><br><TR><a href="true.html" ><strong>True Discount</strong></a></TR><br><TR><a href="banker1.html" ><strong>Bankers Discount</strong></a></TR><br><TR><a href="oddseries.html"><strong>Oddmanout and Series</strong></a></TR><br><TR><a href=""><strong>Data Interpretation</strong></a></TR><br><TR><a href="probability.html"><strong>probability</strong></a></TR><br><TR><a href="percom1.html" ><strong>Permutations and Combinations</strong></a></TR><br><TR><a href="pinkivijji_puzzles.html" ><strong>Puzzles</strong></a></TR></table></TD><TD valign="top"><a href="ratioandproportion.html" target="right"><strong>BACK</strong></a><br><br><pre><div align="center"><font size=6 > <strong><u>RATIO AND PROPORTION</u></strong></font> </div><font size=5 ><strong><u>SIMPLE PROBLEMS</u></strong></font> <font size=4 >1.If a:b =5:9 and b:c=4:7 Find a:b:c?Sol: a:b=5:9 and b:c=4:7=4*9/4:9*4/9=9:63/9 a:b:c=5:9:63/9=20:36:632.Find the fourth proportion to 4,9,12Sol: d is the fourth proportion to a,b,c a:b=c:d 4:9=12:x 4x=9*12=>x=273.Find third proportion to 16,36Sol: if a:b=b:c then c is the third proportion to a,b 16:36=36:x 16x=36*36 x=814.Find mean proportion between 0.08 and 0.18Sol: mean proportion between a and b=square root of ab mean proportion =square root of 0.08*0.18=0.12 5.If a:b=2:3 b:c=4:5, c:d=6:7 then a:b:c:d isSol: a:b=2:3 and b:c=4:5=4*3/4:5*3/4=3:15/4 c:d=6:7=6*15/24:7*15/24=15/4:35/8 a:b:c:d=2:3:15/4:35/8=16:24:30:35 6.2A=3B=4C then A:B:C?Sol: let 2A=3B=4C=k then A=k/2, B=k/3, C=k/4 A:B:C=k/2:k/3:k/4=6:4:3 7.15% of x=20% of y then x:y isSol: (15/100)*x=(20/100)*y 3x=4y x:y=4:3 8.a/3=b/4=c/7 then (a+b+c)/c=Sol: let a/3=b/4=c/7=k (a+b+c)/c=(3k+4k+7k)/7k=29.Rs 3650 is divided among 4 engineers, 3 MBA鈥檚 and 5 CA鈥檚 such that 3 CA鈥檚 get as much as 2 MBA鈥檚 and 3 Eng鈥檚 as much as 2 CA鈥檚 .Find the share of an MBA.Sol: 4E+3M+5C=3650 3C=2M, that is M=1.5C 3E=2C that is E=.66 C Then, (4*0.66C)+(3*1.5C)+5C=3650 C=3650/12.166 C=300 M=1.5 and C=450.</font><font size="+3"><a href="ratioandproportion.html" target="right"><strong>BACK</strong></a><br><br> </pre></TD></TR></table></body></html> ⌨️ 快捷键说明
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