B alone can complete a work in 15 days while A and B together can complete the same work in 8 days. A alone started the work and left after 12 days and rest of the work is completed by B alone. If both of them are paid Rs. 7200 for completing the work in this manner, then find the wages received by A.. Created by kondaanudeep144.

B alone can complete a work in 15 days while A and B together can complete the same work in 8

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Let's solve this problem step by step.

We know that B alone can complete the work in 15 days, so in 1 day, B can complete 1/15th of the work.

We also know that A and B together can complete the work in 8 days, so in 1 day, A and B together can complete 1/8th of the work.

Now, let's calculate how much work A can do in 1 day. Since A and B together can complete 1/8th of the work in 1 day, and B alone can complete 1/15th of the work in 1 day, we can subtract the work done by B from the work done by A and B together:

1/8 - 1/15 = 7/120

This means that A can complete 7/120th of the work in 1 day.

Now, A worked for 12 days, so the total work done by A is:

(7/120) * 12 = 7/10

The remaining work is completed by B alone. Since the total work is 1, and A completed 7/10th of the work, the remaining work completed by B is:

1 - 7/10 = 3/10

Now, let's calculate the wages received by A. Since A completed 7/10th of the work and the total wages are Rs. 7200, the wages received by A can be calculated as:

(7/10) * 7200 = Rs. 5040

Therefore, A received Rs. 5040 as wages.

☆ Hope it's helpful ☆

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