A sum of ₹ 15525 is divided among Sunil,Anil | vedclass

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(C) Let the shares of Sunil,Anil,and Jamil be $S, A,$ and $J$ respectively.Given that $S + A + J = 15525$.After diminishing the shares by ₹ $22$,₹ $35

Vedclass · Accepted Answer

$36: 52: 67$

Vedclass · Answer

(C) Let the shares of Sunil,Anil,and Jamil be $S, A,$ and $J$ respectively.Given that $S + A + J = 15525$.After diminishing the shares by ₹ $22$,₹ $35$,and ₹ $48$,the remaining amounts are in the ratio $7: 10: 13$.Let the remaining amounts be $7x, 10x,$ and $13x$.Then,$S - 22 = 7x \implies S = 7x + 22$.$A - 35 = 10x \implies A = 10x + 35$.$J - 48 = 13x \implies J = 13x + 48$.Summing these: $(7x + 22) + (10x + 35) + (13x + 48) = 15525$.$30x + 105 = 15525 \implies 30x = 15420 \implies x = 514$.Calculating original shares:$S = 7(514) + 22 = 3598 + 22 = 3620$.$A = 10(514) + 35 = 5140 + 35 = 5175$.$J = 13(514) + 48 = 6682 + 48 = 6730$.Now,add ₹ $16$,₹ $77$,and ₹ $37$ to their original shares:New $S = 3620 + 16 = 3636$.New $A = 5175 + 77 = 5252$.New $J = 6730 + 37 = 6767$.The ratio is $3636 : 5252 : 6767$.Dividing by $101$: $3636/101 = 36$,$5252/101 = 52$,$6767/101 = 67$.The ratio is $36: 52: 67$.

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