Answer: Option A
Solution:
Fraction of profit received by each one of Jhon and Mona
=2(1−32)=61
Ratio of capitals of Jhon, Mona and Gordon = Ratio of their profits
61:61:32=1:1:4Let the total capital be Rs.xThen,61of (7% of x−4% of x)=</span><spanclass="mord"><spanclass="mordtext"><spanclass="mord"> 60 million</span></span></span></span></span><spanstyle="top:−3.8526em;"><spanclass="pstrut"style="height:3.45em;"></span><spanclass="mord"><spanclass="mord"></span><spanclass="mspace"style="margin−right:0.2778em;"></span><spanclass="mrel">⇒</span><spanclass="mspace"style="margin−right:0.2778em;"></span><spanclass="mord">3 360 million⇒x=</span><spanclass="mspace"style="margin−right:0.1667em;"></span><spanclass="minner"><spanclass="mopendelimcenter"style="top:0em;"><spanclass="delimsizingsize3">(</span></span><spanclass="mord"><spanclass="mord"><spanclass="mopennulldelimiter"></span><spanclass="mfrac"><spanclass="vlist−tvlist−t2"><spanclass="vlist−r"><spanclass="vlist"style="height:1.3214em;"><spanstyle="top:−2.314em;"><spanclass="pstrut"style="height:3em;"></span><spanclass="mord"><spanclass="mord">3</span></span></span><spanstyle="top:−3.23em;"><spanclass="pstrut"style="height:3em;"></span><spanclass="frac−line"style="border−bottom−width:0.04em;"></span></span><spanstyle="top:−3.677em;"><spanclass="pstrut"style="height:3em;"></span><spanclass="mord"><spanclass="mord"><spanclass="mord">360</span><spanclass="mspace"style="margin−right:0.2222em;"></span><spanclass="mbin">×</span><spanclass="mspace"style="margin−right:0.2222em;"></span><spanclass="mord">100</span></span></span></span></span><spanclass="vlist−s"></span></span><spanclass="vlist−r"><spanclass="vlist"style="height:0.686em;"><span></span></span></span></span></span><spanclass="mclosenulldelimiter"></span></span></span><spanclass="mclosedelimcenter"style="top:0em;"><spanclass="delimsizingsize3">)</span></span></span><spanclass="mspace"style="margin−right:0.1667em;"></span><spanclass="mord"><spanclass="mordtext"><spanclass="mord">million</span></span></span></span></span><spanstyle="top:0.3474em;"><spanclass="pstrut"style="height:3.45em;"></span><spanclass="mord"><spanclass="mord"></span><spanclass="mspace"style="margin−right:0.2778em;"></span><spanclass="mrel">⇒</span><spanclass="mspace"style="margin−right:0.2778em;"></span><spanclass="mordmathnormal">x</span><spanclass="mspace"style="margin−right:0.2778em;"></span><spanclass="mrel">=</span><spanclass="mspace"style="margin−right:0.2778em;"></span><spanclass="mord"> 12000 million ∴ Mona’s capital = (61×</span><spanclass="mord"><spanclass="mordtext"><spanclass="mord">12000 million </span></span></span></span><spanclass="mclosedelimcenter"style="top:0em;"><spanclass="delimsizingsize3">)</span></span></span></span></span><spanstyle="top:6.0475em;"><spanclass="pstrut"style="height:3.45em;"></span><spanclass="mord"><spanclass="mord"></span><spanclass="mspace"style="margin−right:0.2778em;"></span><spanclass="mrel">=</span><spanclass="mspace"style="margin−right:0.2778em;"></span><spanclass="mord">2000 million