₹12,300 were divided among A, B and C such that 3 times the share of A = 6 times the share of B = 2 times the share of C. Find the share of A.
₹12,300 were divided among A, B and C such that 3 times the share of A = 6 times the share of B = 2 times the share of C. Find the share of A.
₹12,300 को A, B और C के बीच इस प्रकार विभाजित किया गया है कि A के हिस्से का 3 गुना = B के हिस्से का 6 गुना = C के हिस्से का 2 गुना है। A का हिस्सा ज्ञात कीजिए।
Detailed Solution & Logic
₹4,100
Solution:
Let the common value be k.
Given:
3A = 6B = 2C = k
So,
A = k/3, B = k/6, C = k/2
Total sum:
A + B + C = k/3 + k/6 + k/2
= k(2/6 + 1/6 + 3/6)
= k(6/6) = k
Hence, total amount = k = 12300
Now,
A = k/3 = 12300/3 = 4100
Final Answer: ₹4,100
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