Question 36

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waecmaths question: 

Bala sold an article for N6,900.00 and made a profit of 15%. If he sold it for N6,600, he would make a 

Option A: 

profit of 13%

Option B: 

loss of 12%

Option C: 

profit of 10%

Option D: 

loss of 5%

waecmaths solution: 

\[\begin{align}  & \text{ }percent\text{ }profit=\frac{profit}{cost price}\times 100percent \\ & 0.15=\frac{profit}{cost price} \\ & profit=0.15[cost price\text{ }\!\!]\!\!\text{ } \\ & selling\text{ price}-\text{cost price }=0.15[cost price\text{ }\!\!]\!\!\text{ } \\ & selling price=cost\text{ }price+0.15[cost price\text{ }\!\!]\!\!\text{ } \\ & selling price\text{ =1}\text{.15 }\!\![\!\!\text{ cost price }\!\!]\!\!\text{ } \\ & \text{1}\text{.15 }\!\![\!\!\text{ cost price }\!\!]\!\!\text{  }=9600 \\ & costprice=\frac{6900}{1.15}=6000 \\ & \text{Selling at 6600} \\ & percentage\text{ }profit=\frac{6600-6000}{6000}\times 100percent=10percent \\ & profit\text{ of 10 }percent \\\end{align}\]

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