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Standard VIII
Maths
Question

A and B have some money with them, A said to B, ' if you give me Rs. 100, my money will become 75% of the money left with you. 'B said to A, 'instead if you give me Rs 100, your money will become 40% of my money.' How much money did A and B have originally?

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Solution
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A and B have some money with them, A said to B, ' if you give me Rs.100, my money will become 75%=0.75 of the money left with you. 'B said to A, 'instead if you give me Rs100, your money will become 40%=0.40 of my money.'
As per 1st condition:(A+100)=0.75(B−100)
This gives us the value of A=0.75B−175 -------------- (i)

As per the 2ns condition: (A−100)=0.40(B+100)
This gives us the value of A=0.40B+140 -------------- (ii)

Equating (i) and (ii), we get B=900
Inputting this value in (i), we get the value of A=500

So originally, A had Rs.500 and B had Rs.900

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