S.P. = ₹ 250 and profit = 25% ⇒ the C.P. is:

1. ₹ 225

2. ₹ 275

3. ₹ 200

4. ₹ none of these

Given:

S.P. = ₹ 250

Profit % = 25%

Let C.P. = $₹x$.

$\text{Profit \%} = \dfrac{\text{Profit}}{\text{C.P.}} \times \text{100}$

Putting the values, we get

$\Rightarrow 25 = \dfrac{\text{Profit}}{x} \times 100\\[1em] \Rightarrow \text{Profit} = \dfrac{25 \times x}{100}\\[1em] = \dfrac{x}{4}$

As we know:

$\text{Profit} = \text{S.P. - C.P.}\\[1em] \Rightarrow \dfrac{x}{4} = 250 - x\\[1em] \Rightarrow 250 = \dfrac{x}{4} + x\\[1em] \Rightarrow 250 = \dfrac{x}{4} + \dfrac{4x}{4}\\[1em] \Rightarrow 250 = \dfrac{(x + 4x)}{4} \\[1em] \Rightarrow 250 = \dfrac{5x}{4}\\[1em] \Rightarrow x = \dfrac{4 \times 250}{5}\\[1em] \Rightarrow x = \dfrac{1000}{5}\\[1em] \Rightarrow x = 200$

Hence, option 3 is the correct option.