What is the no.of initial toys and the initial cost of toys?

Question

A man had Rs.900 and brought some toys with all the money. Out of which 5 toys were defected. He sold all the remaining toys by increasing the price by Rs.2 and made a profit of Rs.80.
What is the no.of initial toys and the initial cost of toys?

Answer 1

Let assume he had x toys and bought it for Rs.y per piece.
Now, we can form these two equations from these

x*y = 900;//Total cost
(y+2)(x-5) = 900+80; //as he mad profit of Rs.80 by selling x-5 toys in Rs.(y+2).

On solving the above two equation we will get x=75 and y=12

Number of toys = 75
Initial Cost = 12