Discussion

Explanation:

Let the total work to be done = LCM(12, 18) = 36 units.

∴ A’s 1 day work = 36/12 = 3 units/day
∴ B’s 1 day work = 36/18 = 2 units/day

In 6 days,

Word done by A = 3 × 6 = 18 units, and
Word done by B = 2 × 6 = 12 units

∴ C completed the remaining work = 36 – 18 – 12 = 6 units.

For 6 units of work done by C, payment = Rs. 45.

∴ For 12 units of work done by B, payment = 45 × 2 = Rs. 90.

Hence, option (d).

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