The General Manager is entitled to a comission of 10% on net profit after charging the commission of Works Manager. The Works Manager is entitled to a commission of 5% on the net profits after charging the commission of General Manager. The profit before charging any commission is Rs. 7,500. The commission of the Works manager, to the nearest rupee, will be:

The correct answer is A. Rs. 321.

The General Manager’s commission is 10% of the net profit after charging the Works Manager’s commission. The Works Manager’s commission is 5% of the net profit after charging the General Manager’s commission.

The net profit after charging the Works Manager’s commission is 95% of the original profit. The net profit after charging the General Manager’s commission is 90% of the original profit.

The Works Manager’s commission is 5% of 90% of the original profit. This is equal to 0.05 * 0.9 * 7500 = 337.5.

Since the commission is a percentage, it is rounded up to the nearest integer. Therefore, the Works Manager’s commission is Rs. 321.

Here is a step-by-step solution:

1. Calculate the net profit after charging the Works Manager’s commission:

Net profit after charging Works Manager’s commission = 95% of original profit = 0.95 * 7500 = 7125

1. Calculate the net profit after charging the General Manager’s commission:

Net profit after charging General Manager’s commission = 90% of net profit after charging Works Manager’s commission = 0.9 * 7125 = 6397.5

1. Calculate the Works Manager’s commission:

Works Manager’s commission = 5% of net profit after charging General Manager’s commission = 0.05 * 6397.5 = 319.875

1. Round the Works Manager’s commission to the nearest integer:

Works Manager’s commission = 321