A sum of rs.1400 is divided amongst a, b, c and d such that a's share : b's share = b's share : c's share = c's share : d's share = 3 4 . How much is c's share?
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c's share = Rs 384 if Rs 1400 is divided such that their share ratio is a:b = b : c = c : d = 3 : 4
Step-by-step explanation:
Given
a:b = b : c = c : d = 3 : 4
Let say d share = 64x
then c share = 3 * 64x / 4 = 48x
b share = 3 * 48x / 4 = 36 x
a share = 3 * 36x / 4 = 27x
a + b + c + d = 27x + 36x + 48x + 64x = 175x
175x = 1400
=> x = 1400175
=> x = 8
c Share = 48x = 48 * 8 = 384 Rs
c's share = Rs 384
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