Question
Two persons A and B started working for a company in
similar jobs on January 1, 1990. A's initial monthly salary was Rs 400, which increases by Rs 50 after every year. B's initial monthly salary was Rs 500 which increases by Rs 20 after every six months. If these arrangements continue till December 31, 1994. Find the total salary they received during that period.Solution
. A's salary as of 1 Jan 1990 is Rs 400 per month. His increment in his monthly salary is Rs 50 per annum. His total salary from 1 Jan 1990 to 31st Dec 1994 By the formula of AP S = n/2 [2a + (n-1) d], where n = 5 years, a = 400 and d = 50 =12[2(400) +(5−1)50] ×5/2 =12×2500 =Rs 30000 B's salary as of Jan 1st, 1990, is Rs 500 and his half-yearly increment in his monthly salary is Rs 20. His total salary from 1 Jan 1990 to Dec 31, 1994 = 2[2(500) +(10−1)20] ×10/2 =2× [1000+180] ×5 =2×5900 =Rs 11800 Since these are monthly salaries, we need to multiply by 6 (since it is bi-annual): Total salary of B over 5 years=11800×6=35400 Total salary of A and B in the 4-year period: = Rs. 30000 + Rs. 35400 ⇒ Rs 65400
25 men can complete a piece of work in 13 days. One man starts the work and after every day one more man joins the work and this continues till the work...
P alone can finish a piece of work ‘M’ in 6 days while Q takes 3 days to finish it alone. P, Q and R working together can finish the work ‘N’ wh...
Two pipes A and B can fill a tank in 24 min., and 32 min, respectively. If both the pipes are opened simultaneously, after how much time B should be clo...
If a task can be completed by either 10 boys or 12 girls in 10 days, how long will it take for a team of 5 boys and 2 girls worki...
A alone can complete 60% of a work in 24 days while B takes 20 days more than A to complete it. If B and C together can complete the work in 35 days, th...
‘A’ can do a piece of work in 15 days. ‘B’ can do 80% of the same work in 20 days. If they work together for the entire time and get paid Rs.140...
'A' can complete a project in 15 days but worked only the first 4 days. 'B', who is 80% as efficient as 'A', takes over. How long does 'B' need to finis...
A and B can complete a task together in 26 days, while B alone takes 52 days to finish it. A began working alone and left after ‘x’ days, after whic...
Ankit began a task but left it after working for 32 days. The remaining 60% of the task was then completed by Bittu and Sittu wor...
A can complete a work in 10 days and B can complete the same work in 15 days. They work together for some days, then A leaves. B finishes the remaining ...
Relevant for Exams:
