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1 vote

The manufacturer of a table sells it to a wholesale dealer at a profit of $10\%$. The wholesale dealer sells the table to a retailer at a profit of $30\%$. Finally, the retailer sells it to a customer at a profit of $50\%$. If the customer pays Rs. $4290$ for the table, then its manufacturing cost (in Rs) is

- $1500$
- $2000$
- $2500$
- $3000$

1 vote

Let, the manufacturing cost of a table (in Rs) be $x$.

$\begin{array}{ccccccc} \text{Manufacturer} & \text{Wholesale dealer} & \text{Retailer} & \text{Customer } \\ x \overset{+10\%}{\longrightarrow} & x \times \left(\frac{110}{100}\right) \overset{+30\%}{\longrightarrow} & \left[\left(x \times \frac{110}{100}\right)\times \frac{130}{100}\right] \overset{+50\%}{\longrightarrow} & \left[\left(x \times \frac{110}{100} \times \frac{130}{100} \right) \times \frac{150}{100}\right] \end{array}$

Now, $x\times\frac{110}{100}\times\frac{130}{100} \times \frac{150}{100} = 4290$

$\Rightarrow 39x\times11 = 4290\times200$

$\Rightarrow \boxed{x = 2000}$

$\therefore$ The manufacturing cost of a table is Rs $2000.$

Correct Answer$:\text{B}$

$\begin{array}{ccccccc} \text{Manufacturer} & \text{Wholesale dealer} & \text{Retailer} & \text{Customer } \\ x \overset{+10\%}{\longrightarrow} & x \times \left(\frac{110}{100}\right) \overset{+30\%}{\longrightarrow} & \left[\left(x \times \frac{110}{100}\right)\times \frac{130}{100}\right] \overset{+50\%}{\longrightarrow} & \left[\left(x \times \frac{110}{100} \times \frac{130}{100} \right) \times \frac{150}{100}\right] \end{array}$

Now, $x\times\frac{110}{100}\times\frac{130}{100} \times \frac{150}{100} = 4290$

$\Rightarrow 39x\times11 = 4290\times200$

$\Rightarrow \boxed{x = 2000}$

$\therefore$ The manufacturing cost of a table is Rs $2000.$

Correct Answer$:\text{B}$