The average wage of a worker during a fortnight comprising 15 consecut...
We are given that the average wage of the worker during a fortnight (15 consecutive working days) was Rs. 90 per day.
During the first 7 days, the average wage was Rs. 87 per day. This means the total wage for the first 7 days was 7 * Rs. 87 = Rs. 609.
During the last 7 days, the average wage was Rs. 92 per day. This means the total wage for the last 7 days was 7 * Rs. 92 = Rs. 644.
Now, to find the worker's wage on the 8th day, we need to find the total wage for all 15 days and subtract the wages for the first 7 and last 7 days.
Let 'x' be the worker's wage on the 8th day.
Total wage for all 15 days = 15 * Rs. 90 = Rs. 1350
Total wage for the first 7 days = Rs. 609
Total wage for the last 7 days = Rs. 644
So, we have the equation:
Rs. 609 + Rs. x + Rs. 644 = Rs. 1350
Rs. x = Rs. 1350 - Rs. 609 - Rs. 644
Rs. x = Rs. 97
Therefore, the worker's wage on the 8th day was Rs. 97.
The correct answer is (d) Rs. 97.