Mr. Seth inherits 2505 gold coins and divides them among his three sons : Brij, Purab and Mohan in a certain ratio. Out of the total coins received by each of them, Brij sells 30 coins, Purab donates his 30 coins and Mohan looses 25 coins. Now, the ratio of gold coins with them is 46 : 41 : 34 respectively. How many coins did Purab receive from his father?
Given the ratio now is 46 : 41 : 34.
Assume the constant of the ratio to be $$x$$
So, now the coins they have are $$46x$$, $$41x$$ and $$34x$$ respectively.
Before selling/donating/losing the number of coins will be $$\left(46x+30\right)$$, $$\left(41x+30\right)$$ and $$\left(34x+25\right)$$ respectively.
We know $$46x+30+41x+30+34x+25=2505$$
$$121x=2420$$
$$x=20$$
So, the number of coins Purab received will be $$41x+30=41\times20+30=850$$
Hence, the answer is 850
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