Question

a certain sum of money is divided among A,B,C in the radio 5 : 6 : 7 .if A's share is ₹175, find the total amount and the share of each one of B and C

Answer 1

$\textbf {Hey there, here is the solution.}$

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Ratio of A : B : C = 5 :
6 : 7 (Given)

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STEP 1: Define x:

Let x be the constant ratio:

Ratio of A : B : C = 5x :
6x : 7x

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STEP 2: Solve x:

Given that A's share is ₹175

5x = ₹175

x = 175 ÷ 5

x = ₹35

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STEP 3: FInd B's and C's share

B = 6x = 6(35) = ₹210

C = 7x= 7(35) = ₹245

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STEP 4: Find total amount:

Total amount = 175 + 210 + 245 = ₹630
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Answer: The total share is ₹630. B's share is ₹210 and c's share is ₹245

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⭐$\textbf {Cheers}$⭐

Answer 2

Let A's share be 5x,B's share be 6x and C's share be 7x
So, 5x=175
or,x=35
So, B's share=6x=6×35=210
and C's share=7x=7×35=245
Total Amount=5x+6x+7x=175+210+245=630