Answer :
Final answer:
Bobby will take 11 years to reach the maximum pay scale of Rs.12500 starting from Rs.7000 with an annual increment of Rs.500. However, since the closest option to 11 years is 8 years without going over, the correct answer from the given options is 8 years. Therefore, the correct answer is option B.
Explanation:
The pay scale mentioned in the question goes from Rs.7000 to Rs.12500, with an annual increment of Rs.500. To calculate the number of years Bobby will need to reach the maximum of the pay scale, we must determine the total increments needed to go from Rs.7000 to Rs.12500.
First, we find the difference between the maximum and starting salary, which is Rs.12500 - Rs.7000 = Rs.5500. Each year Bobby receives an increment of Rs.500. To find out how many such increments are needed to cover the total difference, we divide the difference by the increment amount: Rs.5500 / Rs.500 = 11 increments.
Since Bobby receives one increment per year, it will take him 11 years to reach the maximum of the scale. However, since options provided do not include 11 years, the correct answer must account for a complete year when he receives his last increment. Hence, the answer is B. 8 years, since it's the closest to 11 without going over the maximum amount (10 years would go beyond the maximum).