divide 3010rupees among a, B, c in such way that a gets doubled of what b, B gets doubled of c and what's c gets
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A gets Rs 1720
B gets Rs 860
C gets Rs 430
Let A get Rs a
B get Rs b
and, C get Rs c.
Total money to be divided amongst A, B and C = Rs 3010
So, a + b + c = 3010 ...(1)
Also, A gets double of what B gets, so we can represent this statement as:
a = 2b ...(2)
And, B gets double of what C gets, again we can represent it as:
b = 2c
⇒c = b/2 ...(3)
Substituting the value of a = 2b (from eqn. (2)) and c = b/2 (from eqn. (3)), in eqn. (1), we get:
2b + b + b/2 = 3010
⇒7b/2 = 3010
⇒ b = (3010×2)÷7 = Rs 860
So, B gets Rs 860.
Putting the value of b in eqn. (2), we get the value of a as:
a = 2b = 2×860 = Rs 1720
Again, putting the value of b in eqn. (3), we get the value of c as:
c = b/2 = Rs (860/2) = Rs 430
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