Question 1196061
 1. A shopkeeper buys a certain number of bottles of mayonnaise for R100, she sells all except for ten of them which broke while being unpacked, making a profit of R50.00 If she sold each bottle R10.oo more than she originally paid for it 
1.1. How much did he pay for one bottle?
1.2. how much did he sell each
<pre>Let C be the cost of each bottle purchased
Then # of bottles purchased = {{{100/C}}}
Also, # of bottles sold would be: {{{100/C - 10}}}, and sale price of each bottle = C + 10
We then get: {{{matrix(3,3, (100/C - 10)(C + 10) - 100, "=", 50, 100 + "1,000"/C - 10C - 100 - 100, "=", 50, "1,000"/C - 10C, "=", 150)}}}
                           {{{matrix(1,3, "1,000" - 10C^2, "=", 150C)}}} ------ Multiplying by LCD, C
                                 {{{matrix(3,3, 0, "=",  10C^2 + 150C - "1,000", 10(0), "=", 10(C^2 + 15C - 100), 0, "=", C^2 + 15C - 100)}}}
                                      0 = (C - 5)(C + 20)
                                      0 = C - 5       or      0 = C + 20
 <font color = red><font size = 4><b>Cost of each bottle purchased </font></font></b>or {{{highlight_green(matrix(1,3, C, "=", R5))}}}    or      C = - 20 (ignore)

 <font color = red><font size = 4><b>Sale price of each bottle: </font></font></b> C + 10 = 5 + 10 = <font color = red><font size = 4><b>R15.</font></font></b></pre>