Sure, let's go through the solution step-by-step:
### (i) Find the selling price of the calculator for the dealer:
The dealer bought some chairs for Rs 250 and sold them to a retailer at an 8% profit on his cost price.
1. The cost price for the dealer is Rs 250.
2. The dealer's profit percentage is 8%.
3. To find the selling price of the calculator, we calculate the dealer's profit first:
[tex]\[
\text{Dealer's Profit} = \left( \frac{8}{100} \right) \times 250 = 0.08 \times 250 = 20
\][/tex]
4. Now, we add this profit to the cost price to find the selling price for the dealer:
[tex]\[
\text{Selling Price for Dealer} = \text{Cost Price} + \text{Dealer's Profit} = 250 + 20 = 270
\][/tex]
So, the selling price of the calculator for the dealer is Rs 270.
### (ii) Find the profit of the retailer:
The retailer sells the chairs for Rs 297.
1. The selling price for the dealer was Rs 270 (from part (i)).
2. The retailer's selling price is Rs 297.
3. To find the profit for the retailer, we subtract the dealer's selling price from the retailer's selling price:
[tex]\[
\text{Profit for Retailer} = \text{Retailer's Selling Price} - \text{Dealer's Selling Price} = 297 - 270 = 27
\][/tex]
So, the profit of the retailer is Rs 27.
### (iii) Find the profit percent of the retailer:
To find the retailer's profit percentage:
1. We already have the profit for the retailer, which is Rs 27.
2. The dealer's selling price (which is the retailer's cost price) is Rs 270.
3. The profit percentage is calculated as:
[tex]\[
\text{Profit Percent for Retailer} = \left( \frac{\text{Profit for Retailer}}{\text{Dealer's Selling Price (Retailer's Cost Price)}} \right) \times 100 = \left( \frac{27}{270} \right) \times 100 = 0.1 \times 100 = 10\%
\][/tex]
So, the profit percent of the retailer is 10%.
In summary:
1. The selling price of the calculator for the dealer is Rs 270.
2. The profit of the retailer is Rs 27.
3. The profit percent for the retailer is 10%.
