Discussion

Explanation:

We know that the ratio of payment = ratio of work done.

⇒ $\frac{{\mathrm{P}}_{\mathrm{A}}}{{\mathrm{P}}_{\mathrm{B}}}$ = $\frac{{\mathrm{e}}_{\mathrm{A}}\times {\mathrm{t}}_{\mathrm{A}}}{{\mathrm{e}}_{\mathrm{B}}\times {\mathrm{t}}_{\mathrm{B}}}$

Since both A and B work together, they work for same number of days

∴ $\frac{{\mathrm{P}}_{\mathrm{A}}}{{\mathrm{P}}_{\mathrm{B}}}$ = $\frac{{\mathrm{e}}_{\mathrm{A}}}{{\mathrm{e}}_{\mathrm{B}}}$ = $\frac{{\mathrm{n}}_{\mathrm{B}}}{{\mathrm{n}}_{\mathrm{A}}}$ = $\frac{40}{30}$ = $\frac{4}{3}$

⇒ P_A = $\frac{4}{7}$× 7000 = Rs. 4000.

Hence, option (b).

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