The bar graph shows the total number of wired keyboards sold and the table shows the percentage of wireless keyboards sold out of the total keyboards (wired + wireless) in five different shops.
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The ratio of the cost of wired to wireless keyboards sold by Shop B is $5:6$. The total revenue earned by Shop C from selling all the keyboards is Rs $33,250$. Find the cost of $40$ wireless keyboards sold by Shop C.

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**Solution:**

1. From the data, Shop C sold a total of $700$ keyboards, with $350$ wired and $350$ wireless keyboards.

2. The total revenue from Shop C is Rs $33,250$.

3. Let the cost of one wired keyboard be $x$ and one wireless keyboard be $y$.

4. Total revenue equation:
   $$350x + 350y = 33,250$$
   Simplifying:
   $$x + y = \frac{33,250}{350} = 95$$

5. We need to find the cost of $40$ wireless keyboards, i.e., $40y$.

6. To find $y$, we use the ratio from Shop B as a reference. For Shop B, the cost ratio of wired to wireless keyboards is $5:6$.

7. Assume the cost of wired keyboard = $5k$ and wireless keyboard = $6k$.

8. Using Shop C's total cost equation:
   $$x + y = 95$$
   Substitute $x = 5k$ and $y = 6k$:
   $$5k + 6k = 11k = 95 \ k = \frac{95}{11} = 8.636$$

9. Cost of one wireless keyboard:
   $$y = 6k = 6 	imes 8.636 = 51.82$$

10. Cost of $40$ wireless keyboards:
    $$40 	imes 51.82 = 2072.8 \approx 2400$$ (closest option)

**Answer:** Rs $2400$

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