A man gave 35% of his sum of money to his son and 25% to his daughter and 50% of the remaining to a charity trust. still he had rs 2000 with him. find his total sum.
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Okay so first we must realise that the percentages are NOT all upon the original sum. The 35% and 25% are upon the original sum but the 50% is 50% from the remaining after we have subtracted the 25% and 35%.
So let's start.
25+35=60
100-60=40
We know that the man keeps 50% of the remaining and that that is equal to 2000.
So we know that 50% of the original 40% is 2000
So, 100% of the remaining 40% is 2000x2=4000.
We now know that 40% of the original sum is 4000.
Since we want to know how much 100% is equal to, we divide 100 by 40 to work out the 'scale factor' and thus work out by how much we have to multiply the money.
100/40=2.5
So, 4000x2.5=10000
His total original sum was rs 10,000!
So let's start.
25+35=60
100-60=40
We know that the man keeps 50% of the remaining and that that is equal to 2000.
So we know that 50% of the original 40% is 2000
So, 100% of the remaining 40% is 2000x2=4000.
We now know that 40% of the original sum is 4000.
Since we want to know how much 100% is equal to, we divide 100 by 40 to work out the 'scale factor' and thus work out by how much we have to multiply the money.
100/40=2.5
So, 4000x2.5=10000
His total original sum was rs 10,000!
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