7. A certain sum of money is divided among A, B, C in the ratio 5 : 6 : 7. If A's share is rupees 175, find the total amount and the share of each one of B and c
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Step-by-step-explanation:
Ratio of A : B : C
= 5 :6 : 7 (Given)
STEP 1: Define x:
Let x be the constant ratio:
Ratio of A : B : C
= 5x : 6x : 7x
STEP 2: Solve x:
Given that A's share is ₹175
5x = ₹175
x = 175 ÷ 5
x = ₹35
STEP 3: FInd B's and C's share
B = 6x = 6(35) = ₹210
C = 7x= 7(35) = ₹245
STEP 4: Find total amount:
Total amount = 175 + 210 + 245 = ₹630
Answer: The total share is ₹630. B's share is ₹210 and c's share is ₹245
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