In a partnership, A inverts 1/12 of the capital for 1/12 of the time, B invests 1/6 of the Capital for 1/6 of the time and C, the rest of the capital for the whole time. Out of a profit of Rs 113000/-, B’s share is :  Choose the correct option:
A) Rs. 40000/- B) Rs. 4000/- C) Rs. 14000/- D) Rs. 24000/- E) None of these
Explanation:   Let the total capital be Rs x and the total time be y months. Then,   A invests Rs x/12 for x/12 months;   B invests Rs x/6 for x/6 months;   C invests Rs [x – (x/12 + x/16)] =&gt; Rs.[x – (x+12)/12]   Rs. [(12x – 3x)/12]   Rs. [9x/12]   Rs. [3x/4] for y months   Then A : B : C = [x/12 * y/12] : [x/6 * y/6] : [3x/4 * y/1]   = xy/144 : xy/36 : 3xy/4   LCM = 144, 36, 4 = 144   A : B : C = 1 : 4 : 108   B’s Share = Rs(113000 * 4/113) = Rs. 4000/-   Answer: Option Rs. 4000/-
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In a partnership, A inverts 1/12 of the capital for 1/12 of the time, B invests 1/6 of the Capital for 1/6 of the time and C, the rest of the capital for the whole time. Out of a profit of Rs 113000/-, B’s share is :