If a shopkeeper sells an item ‘A’ at 20% profit and item ‘B’ at 25% profit, then the total profit made is \u20b9 120. If he sells item ‘A’ at 25% profit and item ‘B’ at 20% profit, then the total profit made is \u20b9 105. What is the sum of the cost price of items ‘A’ and ‘B’ ?<\/p>\n
[amp_mcq option1=”\u20b9 300″ option2=”\u20b9 400″ option3=”\u20b9 500″ option4=”\u20b9 600″ correct=”option3″]<\/p>\n
According to the second condition:
\n25% profit on A + 20% profit on B = \u20b9 105
\n0.25 * CA + 0.20 * CB = 105 (Equation 2)<\/p>\n
We want to find the sum of the cost prices, which is CA + CB.
\nAdding Equation 1 and Equation 2:
\n(0.20 * CA + 0.25 * CA) + (0.25 * CB + 0.20 * CB) = 120 + 105
\n0.45 * CA + 0.45 * CB = 225
\n0.45 * (CA + CB) = 225<\/p>\n
Now, solve for CA + CB:
\nCA + CB = 225 \/ 0.45
\nCA + CB = 225 \/ (45\/100)
\nCA + CB = 225 * (100\/45)
\nCA + CB = (225\/45) * 100
\nCA + CB = 5 * 100
\nCA + CB = 500<\/p>\n