2250 is divided among three friends Ajay, Vijay, and Raj in such a way that 1/6th of Ajay’s
share, 1/4th of Vijay’s share and 2/5th of Raj’s share is equal. Find Ajay’s share.
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The share of Ajay is Rs 1080.
Explanation:
Let the Ajay share be A,
Vijay share be V
and Raj share be R.
Let Rs 2250 is divided among three friends Ajay, Vijay, and Raj in such a way that 1/6th of Ajay’s
share, 1/4th of Vijay’s share and 2/5th of Raj’s share = x.
1/6th of A = x
A = 6x - (1)
1/4th of V = x
V= 4x - (2)
2/5th of R = x
R= 5/2x - (3)
Now Given,
A+ V+ R = 2250
6x+ 4x+ 5/2x = 2250
12x+ 8x+ 5x = 4500
25x = 4500
x= 180
So, the share of Ajay is 6x = 6 x 180
= Rs 1080.
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