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We know that, Profit $\% = \left(\dfrac{SP1 – CP}{CP}\right) \times 100\% $

Loss $\% = \left(\dfrac{CP – SP2}{CP}\right) \times 100\% $

given that$,\left(\dfrac{SP1– CP}{CP}\right) \times 100\% = \left(\dfrac{CP – SP2}{CP}\right) \times 100\%$

$\implies SP1 – CP = CP – SP2$

$\implies 2CP = SP1 + SP2$

$\implies 2CP = 1920+1280 = 3200$

$\implies CP = 1600$

Now, Profit $\% = 25\%$

$\implies \left(\dfrac{SP – CP}{CP}\right) \times 100\% = 25\% $

$\implies (SP – 1600) \times 4 = 1600$

$\implies SP – 1600 = 800$

$\implies SP = Rs.\;2000$

So, the correct answer is $(A).$

Loss $\% = \left(\dfrac{CP – SP2}{CP}\right) \times 100\% $

given that$,\left(\dfrac{SP1– CP}{CP}\right) \times 100\% = \left(\dfrac{CP – SP2}{CP}\right) \times 100\%$

$\implies SP1 – CP = CP – SP2$

$\implies 2CP = SP1 + SP2$

$\implies 2CP = 1920+1280 = 3200$

$\implies CP = 1600$

Now, Profit $\% = 25\%$

$\implies \left(\dfrac{SP – CP}{CP}\right) \times 100\% = 25\% $

$\implies (SP – 1600) \times 4 = 1600$

$\implies SP – 1600 = 800$

$\implies SP = Rs.\;2000$

So, the correct answer is $(A).$