Divide ₹1500 into two parts so that 10% of the largest part exceeds 8% of smaller part by ₹60. Find the value of larger and smaller part.
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Let the largest part be a
then the smallest part will become [ 1500 - a ]
According to question
10/100[ a ] - 8/100 [ 1500 - a ] = 60
10a/100 - [ 12000 - 8a ]/100 = 60
Take LCM on LHS side
[ 10a - 12000 + 8a ]/100 = 60
18a - 12000 = 60 × 100
18a - 12000 = 6000
18a = 6000 +12000
18a = 18000
a = 18000/18 = 1000
Therefore Largest part a = 1000.
smaller part = 1500 - a = 1500 - 1000 = 500.
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Divide ₹1500 into two parts so that 10% of the largest part exceeds 8% of smaller part by ₹60. Find the value of larger ...
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