Question

Two men X and Y started working for a certain company at similar jobs on January 1, 1950. X asked for an initial salary of Rs.300 with an annual increment of Rs. 30. Y asked for an initial salary of Rs. 200 with a rise of Rs. 15 every six months. Assume that the arrangements remained unaltered till December 31, 1959. Salary is paid on the last day of the month. What is the total paid to them as salary during the period ?(CAT 2001)

• A. Rs. 93,300
• B. Rs. 93,200
• C. Rs. 93,100
• D. None of these

Answer 1

The correct option is A Rs. 93,300

For total salary paid to X

= 12 $\times$ (300 + 330 + 360 + 390 + 420 + 450 + 480 + 510 + 540 + 570)

=$12\times \frac{10}{2}[2\times 300+9\times 30]$ = 60 $\times$ 870 = Rs. 52,200

For total salary paid to Y

= 6 $\times$ [200 + 215 + 230 + 245 +………………. 20 terms]

= 6 $\times$ 10 $\times$ [2 $\times$ 200 + 19 $\times$ 15][sum of A. P.]

= 60 $\times$ [400 + 285] = Rs. 41,100

Total sum of both = Rs. 93,300