Question
Ram and Dipti each invested a sum of ₹8000 for a
period of two years at 30% compound interest per annum. However, while for Ram the interest was compounded annually, for Dipti it was compounded every eight months. How much more will Dipti receive as interest compared to Ram at the end of the two-year period?Solution
When the rate of interest is compounded eight months of Dipti = (30 × 8/12) % =20% Time for Dipti = (2 × 12/8) = 3 years Now, CI for Ram is A = P (1 + r/100) t =8000(1+30/100)2 (8000 × 13/10 × 13/10) = (80 × 169) = 13,520 Interest = A – P = (13,520 – 8000) Rs. = 5520 Rs. Now, CI for Dipti is. A = P (1 + r/100) t A = 8000(1 + 20/100)3 = 8000(1 + 1/5)3 = 8000(6/5)3 = 13,824 Interest = A – P = (13,824 – 8000) =5824 Rs. Now, Dipti receives as interest compared to Ram at the end of the two-year period = Rs. (5824 – 5520) = 304 Rs.
- ‘P’ and ‘Q’ together can finish a task in 15 days while ‘Q’ alone can do it in 25 days. If the ratio of efficiencies of ‘P’ and ‘R’ is ...
If 12 men can build a wall in 15 days, how many men are required to build the same wall in 10 days?
16 men can complete a work in 10 days. 10 men started the same work and left after working for ‘y’ days. The remaining work is completed by 6 men in...
"Akash and Bittu can individually complete a task in 40 days and 50 days, respectively. They start working together, and after 10...
Manoj can complete a job in 10 days which Rakesh can do in 15 days. Rakesh can finish a task in 20 days which Suresh can complete in 25 days. In how man...
- If Rina can complete a project in 36 days by working 9 hours a day, how many hours per day should she work to complete the project in 18 days?
‘A’ and ‘B’ can complete a certain work in 16 days and 32 days, respectively. They started working together and worked till completion of the wo...
- Pipe ‘X’ can fill a tank 15 minutes faster than Pipe ‘Y’. If both are opened together, they can fill the tank in 18 minutes. If 180 litres of water...
3 workers paint 5 rooms in 8 days. How many workers are needed to paint 10 rooms in 6 days?
28 men can complete a work in 20 days. 40 women can complete the same work in 28 days. 20 men and 12 women started working and after 16 days, 20 more wo...