Rohit donated 1/5 of his monthly income to an NGO, 1/4 on food, 1/3 on rent and 1/15 on other expenses. If he is left with Rs 9000, find his monthly income ?
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60,000 is his monthly income.
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Let his total salary be X
Then total money spent = x/5+x/4+x/3+x/15 = 41 x/60
( as the lcm of 5 , 4 , 3 and 15 is 60 )
then (12 X+15 X+20 X+4 X)/60 = 51 X/60
The money left with him = X - 51 X/60 = 9 X/60
(60 X - 51 X)/60 = 9 X/60
Money left with him = Rs 9000
Then 9 X/60 = 9000
X = 60,000
Then total money spent = x/5+x/4+x/3+x/15 = 41 x/60
( as the lcm of 5 , 4 , 3 and 15 is 60 )
then (12 X+15 X+20 X+4 X)/60 = 51 X/60
The money left with him = X - 51 X/60 = 9 X/60
(60 X - 51 X)/60 = 9 X/60
Money left with him = Rs 9000
Then 9 X/60 = 9000
X = 60,000
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