(b) Rs 12
Let the present price be Rs k per dozen.
∴ Price per unit = Rs \(\frac{k}{12}\)
∴ Increased price = Rs (k +2) per dozen
∴ Increase price per unit = Rs \(\frac{(k+2)}{12}\)
Given, \(\frac{56}{\frac{k}{12}}-\frac{56}{\frac{(k +2)}{12}} = 8\)
⇒ \(\frac{12\times56}{k}-\frac{12\times56}{k+2}=8\)
⇒ 672 x (k + 2) - 672k = 8k(k + 2)
⇒ 8k2 + 16k - 1344 = 0
⇒ k2 + 2k - 168 = 0 ⇒ (k + 14)(k - 12) = 0
⇒ k = 12