Advertisements
Advertisements
Question
6000 workers were employed to construct a river bridge in four years. At the end of first year, 20% workers were retrenched; At the end of second year 5% of the workers at that time were retrenched. However, to complete the project in time, the number of workers was increased by 15% at the end of third year. How many workers were working during the fourth year?
Solution
The number of workers who were working during the fourth year
= 6000`(1 - 20/100)(1 - 5/100)(1+ 15/100)`
`|"V" = "V"_0 (1 - r_1/100)(1 - r_2/100)(1 + r_3/100)`
= 6000 x `(4)/(5) xx (19)/(20) xx (23)/(20)`
= 5244.
APPEARS IN
RELATED QUESTIONS
Rohit borrows Rs. 86,000 from Arun for two years at 5% per annum simple interest. He immediately lends out this money to Akshay at 5% compound interest compounded annually for the same period. Calculate Rohit’s profit in the transaction at the end of two years.
Calculate the amount and the compound interest for the following:
Rs. 7500 at 12% p.a. in 3 years.
Calculate the amount and the compound interest for the following:
Rs.20, 000 at9°/o p.a. in `2 1/3` years
Aryan borrowed a sum or Rs. 36,000 for `1 1/2` years at 10 % p.a. compound interest.
Find the amount he needs to return to clear the debt.
Archana borrowed Rs 18,000 from Ritu at 12% p.a. compound interest. If at the end of the 1st, 2nd, and 3rd years, Archana returned Rs 5,250, Rs 5,875 and Rs 6,875 respectively, find the amount Archana has to pay Ritu at the end of the 4th year to clear her debt.
Mohan invested a certain sum at compound interest, compounded annually. If the interests for two successive years were Rs 600 and Rs 648, calculate the rate of interest and the sum invested.
Find the sum invested at `12 1/2` p.a. compound interest on which the interest for the third year exceeds that of the first year by Rs 531.25.
A borrowed Rs. 2,500 from B at 12% per annum compound interest. After 2 years, A gave Rs. 2,936 and a watch to B to clear the account. Find the cost of the watch.
A man lends Rs. 12,500 at 12% for the first year, at 15% for the second year and at 18% for the third year. If the rates of interest are compounded yearly ; find the difference between the C.I. fo the first year and the compound interest for the third year.
A manufacturer estimates that his machine depreciates by 15% of its value at the beginning of the year. Find the original value (cost) of the machine, if it depreciates by Rs. 5,355 during the second year.
