Question
Download Solution PDFA certain amount of money is divided between A, B and C in the ratio 8 : 4 : 3. If A divides his share between D and E in the ratio of 9 : 7, what will be the ratio of C's share to D's?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The total amount is divided between A, B, and C in the ratio 8 : 4 : 3.
A divides his share between D and E in the ratio 9 : 7.
Formula used:
Profit = Time × Investment
Calculation:
Let the total amount of money be S.
A's share = (8 / (8 + 4 + 3)) × S = (8 / 15) × S
B's share = (4 / (8 + 4 + 3)) × S = (4 / 15) × S
C's share = (3 / (8 + 4 + 3)) × S = (3 / 15) × S
Now, A divides his share between D and E in the ratio 9 : 7.
So, D's share from A = (9 / (9 + 7)) × A's share = (9 / 16) × (8 / 15) × S
⇒ D's share = (72 / 240) × S = (3 / 10) × S
Now, we need to find the ratio of C's share to D's share:
C's share : D's share = (3 / 15) × S : (3 / 10) × S
⇒ Ratio = (3 / 15) × (10 / 3) = 2 / 3
∴ The ratio of C's share to D's share is 2 : 3.
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