an amount of money to be distributed among A,B and C in the ratio of 5:2:1 respectively.If A gives rupees 1000 to B and C each then the ratio among A,B and C becomes 8:5:3 respectively.what was the total amount?
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Given: Ratio of A:B:C = 5:2:1 = 5x:2x:1x
Now A gives 1000 each to B and C
Hence:
A now has: 5x-2000
B has: 2x+1000
C has: x+1000
Given the new ratio is: 8:5:3
Take any two ratios.
Here, i am considering the ratio of B and C
2x+1000/x+1000 = 5/3
3*(2x+1000) = 5*(x+1000)
6x + 3000 = 5x + 5000
x = 2000
Hence total amount = 5x+2x+x = 8x = 8*2000 = 16,000.
Hope it helps.
Now A gives 1000 each to B and C
Hence:
A now has: 5x-2000
B has: 2x+1000
C has: x+1000
Given the new ratio is: 8:5:3
Take any two ratios.
Here, i am considering the ratio of B and C
2x+1000/x+1000 = 5/3
3*(2x+1000) = 5*(x+1000)
6x + 3000 = 5x + 5000
x = 2000
Hence total amount = 5x+2x+x = 8x = 8*2000 = 16,000.
Hope it helps.
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