Question
A train crosses a pole and a platform of length 576
metres in 12 seconds and 30 seconds, respectively. Find the length of train.Solution
Let the speed of train be 'v' m/s.
Length of train = '12v' metres
So, (12v + 576) ÷ 30 = 'v'
Or, 12v + 576 = 30v
Or, 18v = 576
So, 'v' = 32
Therefore, length of the train = 12 × 32 = 384 metres
The difference between the simple interest and the compound interest compounded annually at the same rate on a sum of money at the end of two years is R...
A principal amount of ₹5p grows to ₹(5p + 660) in 2 years at an annual interest rate of 20% compounded yearly. Determine the ...
At a simple interest rate of 20% per year for three years, 'P' invested Rs. 'p + 250', and for two years, Rs. 'p + 500' at a simple interest rate of 30%...
Someone puts Rs. 18,000 in a scheme offering simple interest at ‘x%’ annually and receives Rs. 22,500 after 2.5 years. If he had instead invested Rs...
Rs. 5,200 is split into two parts. One part is invested at a simple interest rate of 12% per annum, while the other part is invested at a compound inter...
Rahul placed Rs. 40,000 between two investment options, ‘E’ and ‘F’, for 6 years and 3 years, respectively. Option ‘E’ accrues simple intere...
Jaideep invested two equal sums at 12% simple interest p.a. for 8 years and 10 years respectively. If the difference in interest earned is Rs.14,...
Rs. 2500 is invested in scheme ‘A’ for a year at simple interest of 25% p.a. The interest received from scheme ‘A’ is reinvested for 2 years in ...
Simple interest and compound interest (compounded annually) earned on a sum at the end of 2 years at a certain rate of interest p.a. are Rs. 1100 and Rs...
A man deposited Rs. ‘x + 1200’ at 12% per annum simple interest and earned Rs. 528 as interest after 2 years. Find the interest earned by him if he ...
Relevant for Exams:
