Problem: When a producer allows 36% commission on the retail price of his product, he earns a profit of 8.8%. What would be his profit percent if the commission is reduced by 24%?
View all: PUBALI BANK (SO) | WRITTEN QUESTION (MATH) SOLVE | 2014
Correct Answer: ans: 49.6%.
Explanation:
Let, the marked price of the product be 100 Tk.After allowing 36% commission, the retail price of the product will be = 100 – 36 = 64 Tk.
So, his selling price is 64 Tk.
At 8.8% profit, If selling price is Tk. 108.8 then cost price will be = Tk. 100
If selling price Tk. 64 then cost price will be = $\frac{100\times 64}{108.8}$ = 58.8235
After reducing commission by 24%
The actual commission will be = 36 – 24 = 12%
Then selling price = 100 – 12 = Tk. 88
Profit = 88 – 58.8235 = Tk. 29.1765
Profit percentage = $\frac{29.1765}{58.8235}$ x 100 = 49.6%