Question

₹642 is divided into three friends Raghav,Anil and Sobha.anil gets4\5 of amount that Raghav got and Sobha got45.5%of amount that Anil got.how much money did each one of them got

Answer 1

It is given that ₹642 is divided into three friends Raghav,Anil and Sobha, in which anil gets 4 / 5 of amount that Raghav got and Sobha got 45.5% of amount that Anil got.

Let the money that Raghav got be ₹a,



According to the question :


Anil gets 4 / 5 of the amount of Raghav.

So,
Money of Anil = 4 / 5 x ₹a

Money of Anil = ₹ 4a / 5



Also,
Money of Sobha = 45.5 % of Money of Anil

So,
Money of Sobha = 45.5% x ₹ 4a / 5

Money of Sobha = ₹ 455 x 4a / 1000 x 5

Money of Sobha = ₹ 364a / 1000


It is given in the question that the total amount which is divided is ₹642.



Therefore,
Total amount = Anil's money + Raghav's money + Sobha's money

= > ₹ 642 = ₹ a + ₹( 4a / 5 ) + ₹( 364a / 1000 )

= > 642 = [ 1000a + 800a + 364a ] / 1000

= > 642000 = 2164 a

= > 642000 / 2164 = a

= > 160500 / 541 = a



Hence,
Raghav got ₹ a = ₹ 160500 / 541 or 296.67

Anil got = ₹ ( 160500 x 4 / 541 x 5 ) = ₹ 128400 / 541

Sobha got = ₹ ( 364 x 160500 / 1000 x 5 ) = ₹ 58422 / 5 .

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