Which is more Lucrative?

              A businessman advertised two job openings for peons in his firm. Two men applied and the business man decided to engage both of them. He offered them a salary of Rs. 2,000 per year; Rs. 1,000 to be paid every half year, with a promise that their salary would be raised if their work proved satisfactory. They could have a raise of Rs. 300 per year, or if they preferred Rs. 100 each half year.

          The two men thought for moments and then one of them expressed his wish to take the raise at Rs. 300 per year, while the other man said he would accept the half yearly increase of Rs. 100.

         Between the two men, who was the gainer, and by how much?

Answer:  At a raise of Rs. 300 per year:

1^st year Rs. 1000+ Rs. 1000 = Rs. 2000

2^nd year Rs.1150 + Rs. 1150 = Rs. 2300

3^rd year Rs. 1300+ Rs. 1300 =Rs .2600

4^th year Rs. 1450 + Rs. 1450 =Rs .2900

At a raise of Rs. 100 each half year;

 1^st year Rs. 1000 + Rs. 1100 =Rs. 2100

2^nd year Rs. 1200+ Rs. 1300 = Rs. 2500

3^rd Year Rs. 1400 + Rs. 1500 = Rs. 2900

4^th year Rs. 1600 + Rs. 1700 = Rs. 3300

Obviously the second proposition is much more lucrative.