Answer:
number of glasses he bought = 60
Explanation:
Let the variable x represent the number of glasses he bought
Total cost of x glasses at Rs. 12 each = 12x
5 glasses broke so remaining number of glasses = x- 5
He sold this quantity of glasses for Rs. 16 each
Total sale price of (x - 5) glasses = 16(x - 5)
Total profit = Total sales - Total cost = 160
=> 16(x - 5) - 12x = 16
Expand brackets for 16(x - 5): 16x - 16 x 5 = 16x - 80
Therefore we get
16x - 80- 12x = 160
4x - 80 = 160
Add 80 on both sides:
4x -80 + 80 = 160 + 80
4x = 240
x = 240/4 = 60