Question

The cost price of a box and a pen isRs 120 The box is sold at lo% profit and the pen is sold at 10% loss. If the selling price of the box is Rs 52 more than that of the pen, calculate the profit or loss percent in a whole.​

Answer 1

profit of 3.33%

Explanation:

Answer 2

• 3.33%

Explanation:

• Cos of Pen = p
• Cos of Box = b

• b + p = 120
• 1.1b - 0.9p = 52

Solve the system by substitution:

• p = 120 - b

• 1.1b - 0.9(120 - b) = 52
• 1.1b + 0.9b = 52 + 108
• 2b = 160
• b = 160/2
• b = 80

Find p:

• p = 120 - 80 = 40

Total profit or loss:

• 80*1.1 + 40*0.9 - 120 = 4 (profit as positive)

Profit percent:

• 4/120*100% = 3.33%