SOLUTION: a bonous of rs 1000 is to be divided among three people so that rohit receives twice as much sachin,who receives one fifth as much as gagan.how much money should gagan receive

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Question 909159: a bonous of rs 1000 is to be divided among three people so that rohit receives twice as much sachin,who receives one fifth as much as gagan.how much money should gagan receive
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = amount Gagan should receive
Sachin receives +x%2F5+
Rohit receives +%28+2x+%29%2F5+
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+x+%2B+x%2F5+%2B+%282x%29%2F5+=+1000+
Multiply both sides by +5+
+5x+%2B+x+%2B+2x+=+5000+
+8x+=+5000+
+x+=+625+
Gagan should receive rs 625
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check:
+x+%2B+x%2F5+%2B+%282x%29%2F5+=+1000+
+625+%2B+625%2F5+%2B+%282%2A625%29%2F5+=+1000+
+625+%2B+125+%2B+250+=+1000+
+1000+=+1000+
OK