Question
Download Solution PDFThe total amount of ₹ 49 is distributed among A, B and C. A receives ₹ 5 more than Band B receives ₹ 4 more than C. What is the ratio of their shares ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The total amount of ₹ 49 is distributed among A, B, and C.
A receives ₹ 5 more than B and B receives ₹ 4 more than C.
Formula used:
Let C's share be x.
B's share = C's share + 4 = x + 4
A's share = B's share + 5 = (x + 4) + 5 = x + 9
Total share = A's share + B's share + C's share
Calculations:
x + (x + 4) + (x + 9) = 49
⇒ 3x + 13 = 49
⇒ 3x = 49 - 13
⇒ 3x = 36
⇒ x = 12
C's share = x = 12
B's share = x + 4 = 12 + 4 = 16
A's share = x + 9 = 12 + 9 = 21
Ratio of their shares = 21 ∶ 16 ∶ 12
∴ The correct answer is option 2.
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