If the equilibrium constant for $\mathrm{A}\rightleftharpoons \mathrm{B}+\mathrm{C}$ is ${\mathrm{K}}_{\mathrm{eq}}^{\left(1\right)}$ and that of $\mathrm{B}+\mathrm{C}\rightleftharpoons \mathrm{P}$ is ${\mathrm{K}}_{\mathrm{eq}}^{\left(2\right)},$ the equilibrium constant for $\mathrm{A}\rightleftharpoons \mathrm{P}$ is :

• A

  ${\mathrm{K}}_{\mathrm{eq}}^{\left(1\right)}/{\mathrm{K}}_{\mathrm{eq}}^{\left(2\right)}$
• B

  ${\mathrm{K}}_{\mathrm{eq}}^{\left(2\right)}-{\mathrm{K}}_{\mathrm{eq}}^{\left(1\right)}$
• C

  ${\mathrm{K}}_{\mathrm{eq}}^{\left(1\right)}+{\mathrm{K}}_{\mathrm{eq}}^{\left(2\right)}$
• Correct answer
  D

  ${\mathrm{K}}_{\mathrm{eq}}^{\left(1\right)}{\mathrm{K}}_{\mathrm{eq}}^{\left(2\right)}$

Hence, the correct answer is option: 'D'.