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)
Answer: Option A
:
A
(a) For total salary paid to X= 12 × (300 + 330 + 360 + 390 + 420 + 450 + 480 + 510 + 540 + 570)=
= 60 × 870 = Rs. 52,200For total salary paid to Y= 6 × [200 + 215 + 230 + 245 +………………. 20 terms]= 6 × 10 × [2 × 200 + 19 × 15][sum of A. P.]= 60 × [400 + 285] = Rs. 41,100Total sum of both = Rs. 93,300
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:
A
(a) For total salary paid to X= 12 × (300 + 330 + 360 + 390 + 420 + 450 + 480 + 510 + 540 + 570)=
= 60 × 870 = Rs. 52,200For total salary paid to Y= 6 × [200 + 215 + 230 + 245 +………………. 20 terms]= 6 × 10 × [2 × 200 + 19 × 15][sum of A. P.]= 60 × [400 + 285] = Rs. 41,100Total sum of both = Rs. 93,300
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