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📁 aptitude book by r s aggarwal
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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"><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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