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?

Answer 1

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 $Rs.900$