Question
Two individuals, 'A' and 'B', are running around a
circular track with a total length of 2000 meters. 'A' runs clockwise at a speed of 5 m/s, while 'B' runs anticlockwise at a speed of 7.5 m/s. What is the distance from the starting point to the nearest point where 'A' and 'B' will meet, relative to their starting point?Solution
Ratio of speeds of 'A' and 'B' = 5:7.5 = 2:3 So, number of meeting points = 2 + 3 = 5 So, distance between each meeting point = 2000 ÷ 5 = 400 metres So, required distance = 400 metres
'A' invests Rs.10,000 for 3 years at a certain rate of interest. At the end of the second year, it amounts to Rs.11,664. Calculate the rate of interest ...
What will be the amount payable on Maturity of ₹2,250 invested for three years 20% p.a. interest compounded yearly?
A sum of ₹33,100 was divided between Timir and Monali in such a way that if both invested their shares at 10% compound interest per annum, the amount ...
A sum of money amounts to Rs 1024 in 4 years and Rs 1458 in 7 years at a compound rate of interest. What is the rate of interest per annum?
The difference between the compound interest and simple interest on a certain sum for 2 years at 12% per annum is 144. Find the principal amount.
The simple interest on a sum of money will be Rs. 800 after 10 years. If the principal is tripled after 5 years, what will be total interest at the end ...
Two trains start from points A and B, 300 km apart, and travel towards each other. Train 1 starts from A at 60 km/h, while Train 2 starts from B at 40 k...
The compound interest on a certain sum for 2 years at 10% per annum is Rs. (x+420). The simple interest on the same sum at the same rate for the same ti...
A sum of money amounts to ₹12,960 in 2 years at compound interest. If the rate of interest is 10% per annum, what is the principal amount?
What is the compound interest in a sum of 7500 for 12/5 years at 20% p.a., interest compounded yearly (nearest to an integer)?
