When an article was sold for Rs. 696, percent profit earned was P%. When the same article was sold for Rs. 841, percent profit earned was (p + 25%). What is the value of P?

Answer: Option D

Sale price of an article is Rs. 696, when profit = P%
Sale price of an article is Rs. 841, when profit = P + 25%
Difference in selling price
= Rs. (841 - 696)
= Rs. 145
Difference of profit percentages = P + 25% - p = 25%
∴ Let the cost price of article be Rs. x, then, 25% of x = Rs. 145
$$\begin{array}{rl}& \Rightarrow x\times \frac{25}{100}=\text{Rs}.145\\ & \Rightarrow x=\frac{145\times 100}{25}\\ & \Rightarrow \text{Rs}\text{. }580\end{array}$$
∴ Profit = Sale Price - Cost Price
            = Rs. (696 - 580)
            = Rs. 116
$$\begin{array}{rl}& \text{Profit}=\text{p}\%\\ & \therefore 580\times \frac{p}{100}=116\\ & \Rightarrow \text{p}=\frac{116\times 100}{580}\\ & \Rightarrow \text{p}=20\%\end{array}$$