When 30% of one number is added to second number, the second number increases by one fifth.What is the ratio of the first number to the second number?
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GIVEN :
=> 2 NO. ARE GIVEN :
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CONDITION :
=> 30% OF 1ST NO. IS ADDED TO 2ND ,
=> 2ND NO. INCREASES BY 1/5
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=> LET,
1ST NO. BE ;
=> X
2ND NO. BE :
=> Y
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30% OF 1ST NO :
=> 30 / 100 * X
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1/5 OF 2ND NO. :
=> 1/5 * Y
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TO FIND :
=> THE RATIO OF FIRST NO. WITH SECOND
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BY CONDITIONS GIVEN :
=> 30 * X / 100 + Y = Y + 1 / 5 Y
=> 30X + 100 Y / 100 = 6 / 5 Y
=> 30X + 100 Y = 100 ( 6 / 5 Y )
=> 30X + 100 Y = 600 / 5 Y
=> 30X + 100 Y = 120 Y
=> 30X = 120 Y - 100 Y
=> 30 X = 20 Y
=> X / Y = 20 / 30
=> X / Y = 2 / 3
=> X : Y = 2 : 3
_______________________________
HOPE IT WILL HELP U ......
THANKS AGAIN .......
______________________________
______________________________
GIVEN :
=> 2 NO. ARE GIVEN :
_______________________________
CONDITION :
=> 30% OF 1ST NO. IS ADDED TO 2ND ,
=> 2ND NO. INCREASES BY 1/5
_______________________________
=> LET,
1ST NO. BE ;
=> X
2ND NO. BE :
=> Y
_______________________________
30% OF 1ST NO :
=> 30 / 100 * X
______________________________
1/5 OF 2ND NO. :
=> 1/5 * Y
______________________________
TO FIND :
=> THE RATIO OF FIRST NO. WITH SECOND
______________________________
BY CONDITIONS GIVEN :
=> 30 * X / 100 + Y = Y + 1 / 5 Y
=> 30X + 100 Y / 100 = 6 / 5 Y
=> 30X + 100 Y = 100 ( 6 / 5 Y )
=> 30X + 100 Y = 600 / 5 Y
=> 30X + 100 Y = 120 Y
=> 30X = 120 Y - 100 Y
=> 30 X = 20 Y
=> X / Y = 20 / 30
=> X / Y = 2 / 3
=> X : Y = 2 : 3
_______________________________
HOPE IT WILL HELP U ......
THANKS AGAIN .......
______________________________
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