Question

Three tables are purchased for Rs. $2500$ each. First is sold at a profit of $8\%$, the second is sold at a loss of $3\%$. If their average selling price is Rs. $2575$, find the profit percent on the third

• A. $6\%$
• B. $5\%$
• C. $4\%$
• D. $8\%$

Answer 1

The correct option is C $4\%$

The cost of $1$ table $=$ Rs. $2500$.

$\therefore$ the C.P. of the three tables $=$ Rs. $2500\times 3$

$=$ Rs. $7500$

The average S.P. of the $3$ tables $=$ Rs. $2575$.

$\therefore$ the total S.P. $=$ Rs. $2575\times 3$ $=$ Rs. $7725$.

The S.P. of the first table at $8\%$ profit $=$ Rs. $(2500+\frac{8}{100}\times 2500)=$ Rs. $2700$.

The S.P. of the second table at $3\%$ loss $=$ Rs. $(2500-\frac{3}{100}\times 2500)=$ Rs. $2425$.

Then, the sum of the S.P. of two tables $=$ Rs. $(2700+2425)=$ Rs. $5125$.

So, the S.P. of the third table $=$ The total of the S.P.$-$the sum of the S.P. of two tables

$=$ Rs. $(7725-5125)=$ Rs. $2600$.

$\therefore$ Profit on the third tables $=$ Rs. $(2600-2500)=$ Rs. $100$

$=$ $\frac{100}{2500}\times 100$ $\%$

$=4\%$