Question

Mamma Temte bakes six pies each day at a cost of $2 each. On 11% of the days she sells only two pies. On 17% of the days, she sells 4 pies, and on the remaining 72% of the days, she sells all six pies. If Mama Temte sells her pies for $4 each, what is her expected profit for a day's worth of pies? [Assume that any leftover pies are given away.]

Answer 1

Let the total number of days be 100

Mamma Temte bakes six pies each day at $ 2 each

Hence , cost of 6 pies= $ 2 ×6=$12

Total cost for 100 days = 12×100= $1200

On 11% of days she sold 2 pies at $ 4 each

Total selling price of pies for 11 days= 2×11×4= $ 88

On 17% of days she sold 4 pies at $ 4 each

Total selling price of pies for 17 days= 4×4×17= $272

On 72 % of days, she sold all six pies at $ 4 each

Total selling price of 72 days= 4×6×72=$ 1728

Total selling price of pies= 88+272+1728= $ 2028

Net profit= 2028-1200=828

Profit%=
`(828)/(1200)`×100

Profit%= 69%

Hence, correct answer is 69%