Rs.720 was distributed among Ram, Shyam, Jadu and Madhu. If Ram would receive Rs.5 less, Jadu would receive 5 times of his money and Madhu would receive 1/5th of his money , then they would receive equal money. How much money did each of them receive?
Answers
Given :-
- 720 was distributed among Ram, Shyam, Jadu and Madhu .
- If Ram would receive Rs.5 less.
- Jadu would receive 5 times of his money.
- Madhu would receive 1/5 th of his money, they would receive equal money.
To Find :-
- How much money did each of them receive ?
Solution :-
Let us Assume that, initial Ram, Shyam, Jadu and Madhu received Rs. R,S,J and M respectively.
Than, After :-
→ Shyam intital = Ram receive Rs.5 Less = Jadu receive 5 times = (1/5) of Madhu receive .
→ S = (R - 5) = 5 * J = (M/5)
Let us assume that, value of this new receiving is k. { where k is any constant number. }
Than,
→ S = (R - 5) = 5 * J = (M/5) = k
or,
→ S = k
→ R = k + 5
→ J = (k/5)
→ M = 5k
Therefore,
→ S + R + J + M = 720
→ k + (k + 5) + (k/5) + 5k = 720
→ 2k + 5 + 5k + (k/5) = 720
→ 7k + (k/5) = 720 - 5
→ (35k + k) / 5 = 715
→ 36k = 715 * 5
→ k = 99.31
Hence,
→ S = k = 99.31 (Ans.)
→ R = k + 5 = 99.31 + 5 = 104.31 (Ans.)
→ J = k/5 = (99.31/5) = 19.86 (Ans.)
→ M = 5k = 5*99.31 = 496.55 (Ans.)
Ram got ₹ 95
Shyam got ₹ 105
Jadu got ₹ 20
Madhu got ₹ 500
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