₹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
Correct Answer:
₹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
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...
₹10,415 is divided among P, Q, and R in such a way that if ₹62, ₹17, and ₹79 are deducted from their respective shares, they have money in the ratio 15:10:14.
₹10,415 is divided among P, Q, and R in such a way that if ₹62,...
The monthly incomes of two friends Gopal and Akshay are in the ratio of 5:7 respectively and each of them saves ₹93000 per month. If the ratio of their monthly expenditure is 2:4, then find the monthly income of Gopal (in ₹).
The monthly incomes of two friends Gopal and Akshay are in the ratio of 5:7...
The ratio of the profit to the cost price of a product is 2 : 7 What is the ratio of its selling price to its profit?
The ratio of the profit to the cost price of a product is 2 :...
Find the number that can be subtracted from both terms of the ratio 43 : 91 so that the ratio becomes 3 : 7.
Find the number that can be subtracted from both terms of the ratio 43 :...
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...
The monthly incomes of two friends Ashish and Kiran,
The monthly incomes of two friends Ashish and Kiran, are in the ratio 5 :...