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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" target="right"><strong>Decimal Fractions</strong></a></TR><br><TR><a href="simplification.html"><strong>Simplification</strong></a></TR><br><TR><a href="squareandcuberoot.html" target="right"><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" target="right"><strong>Percentage</strong></a></TR><br><TR><a href="profitandloss.html" target="right"><strong>Profit and Loss</strong></a></TR><br><TR><a href="ratioandproportion.html" target="right"><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" target="right"><strong>Time and Work</strong></a></TR><br><TR><a href="pipesandcisterns.html" target="right"><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" target="right"><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" target="right"><strong>Simple Interest</strong></a></TR><br><TR><a href="CI.html" target="right"><strong>Compound Interest</strong></a></TR><br><TR><a href=""><strong>Logorithms</strong></a></TR><br><TR><a href="areas.html" target="right"><strong>Areas</strong></a></TR><br><TR><a href="volume.html" target="right"><strong>Volume and Surface area</strong></a></TR><br><TR><a href="races.html" target="right"><strong>Races and Games of Skill</strong></a></TR><br><TR><a href="calendar.html" target="right"><strong>Calendar</strong></a></TR><br><TR><a href="clocks.html" target="right"><strong>Clocks</strong></a></TR><br><TR><a href="" target="right"><strong>Stocks ans Shares</strong></a></TR><br><TR><a href="true.html" target="right"><strong>True Discount</strong></a></TR><br><TR><a href="banker1.html" target="right"><strong>Bankers Discount</strong></a></TR><br><TR><a href="oddseries.html" target="right"><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" target="right" ><strong>Permutations and Combinations</strong></a></TR><br><TR><a href="pinkivijji_puzzles.html" target="right"><strong>Puzzles</strong></a></TR></table></TD><TD valign="top"><br><font size="4"><a href="partnership.html" target=right><strong>BACK</strong></a></font> <br><font size=5> <strong><b>PARTNERSHIP</b></strong></font> <br><br><font size=4 ><strong>Difficult problems:</strong></font> <br><font size=4>1.P and Q started a business investing Rs 85,000 and Rs 15,000 respectively. <br>In what ratio the profit earned after 2 years be divided between P and Q<br> respectively?<br>Sol: <br> 85,000*2 : 15,000*2<br> 17*2 : 3*2=34:6<br><br>2.A,B and C started a business by investing Rs 1,20,000, Rs 1,35,000 and <br>Rs 1,50,000.Find the share of each ,out of an annual profit of Rs 56,700?<br><br>Sol: Ratio of shares of A,B and C=Ratio of their investments<br><pre> 120,000:135,000:150,000 =8:9:10 A's share=Rs 56,700*(8/27)=Rs 16,800 B's share =Rs 56,700*(9/27)=Rs 18,900 C's share =Rs 56,700*(10/27)=Rs 21,000</pre><br><br>3.3 milkman A,B,C rented a pasture A grazed his 45 cows for 12 days <br>B grazed his 36 cows for 15 days and c 60 cows for 10 days.If b's <br>share of rent was Rs 540 What is the total rent?<br><br>Sol: <pre> 45*12:36*15:60*10 =9:9:10 9 parts is equal to Rs 540 then one part is equal to Rs 60 total rent=60*28=Rs 1680</pre> 4.Ramu and Krishna entered into a partnership with Rs 50,000<br> and Rs 60,000, after 4 months Ramu invested Rs 25,000 more <br>while Krishna withdraw Rs 20,000 . Find the share of Ramu in <br>the annual profit of Rs 289,000.<br><br>Sol: Ramu : Krishna=50,000*4+75,000*8:60,000*4+40,000*8<br> =10:7<br> Ramu's annual profit=289000*(10/17)=Rs 170,000<br> <br><br>5.A,B,C enter into partnership .A invests 3 times as much as B invests <br>and B invests two third of what C invests. At the end of the year ,the <br>profit earned is Rs 6600. what is the share of B?<br><br>Sol: <br> <pre> let C's capital =Rs x B's capital=Rs (2/3)*x A's capital =3*(2/3)*x=Rs 2x ratio of their capitals=2x:(2/3)*x:x =6x:2x;3x B's share =Rs 6600(2/11)=Rs 1200 </pre><br>6.A,B and C enter into a partnership by investing in the ratio of 3:2:4.<br>After one year ,B invests another Rs 2,70,000 and C,at the end of 2 years,<br>also invests Rs 2,70,000.At the end of 3 years ,profit are shared in the <br>ratio of 3:4:5.Find the initial investment of each?<br><br>Sol: <br> Initial investments of A,B,c be Rs 3x, Rs 2x, Rs 4x<br>then for 3 years <br>(3x*36):[(2x*12)+(2x+270000)*24]:[(4x*24)+(4x+270000)*12]=3:4:5<br> 108x:(72x+640,000):(144x+3240000)=3:4:5<br> 108x:72x+6480000:144x+3240000=3:4:5<br> (108x)/(72x+6480000)=3/4<br> 432x=216x+19440000<br> 216x=19440000<br> x=Rs 90000<br> A's initial investment=3x=3*90,000=Rs 2,70,000<br> B's initial investment=2x=2*90,000=Rs 1,80,000<br><br> C's initial investment=4x=4*90,000=Rs 3,60,000</font><br><br><font size="4"><a href="partnership.html" ><strong>BACK</strong></a></font> <br> <br> </pre></TD></TR></table></body>
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