₹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
Similar Practice Questions
A sum of ₹980 was divided among A, B, and C such that A received $\frac{3}{7}$ of B’s share and C received 75% of A’s share. Find C’s share.
A sum of ₹980 was divided among A, B, and C such that A received...
Three partners invested in a business in the ratio of 6 : 1 : 5. They invested their capital for 7 months, 10 months and 8 months respectively. Find the ratio of their profits.
Three partners invested in a business in the ratio of 6 : 1 : 5....
If 25% of (p + Q) = 75% of (p — Q), then find the ratio p: Q.
If 25% of (p + Q) = 75% of (p — Q), then find the...
Three partners invested in a business in the ratio 6 : 9 : 8. They invested their capitals for 12 months, 10 months and 3 months, respectively. What was the ratio of their profits?
Three partners invested in a business in the ratio 6 : 9 : 8. They...
If A : B = 3 : 7 and B : C = 2 : 5, then find the value of A : B : C.
If A : B = 3 : 7 and B : C = 2 :...
The ratio of the walking speeds of A and B is 3 : 5.
The ratio of the walking speeds of A and B is 3 : 5. If...
The sum of the present ages of A, B and C is 131 years. 17 years ago from now, the ratio of their ages was 6 : 10 : 4. What is the present age of C (in years)?
The sum of the present ages of A, B and C is 131 years. 17...