Question
A is cycling at an average speed of 10 km/hr such that
he can reach a certain point at 12 noon. If he cycles at 15 km/hr, then he will reach the destination at 10 a.m. At what speed he should cycle to reach the destination at 11 a.m.Solution
Let the distance to be travelled be ‘x’ km Time taken when speed is 10 km/hr = (x/10) hours Time taken when speed is 15 km/hr = (x/15) hours According to the question, (x/10) – (x/15) = 2 Or, 3x – 2x = 2 × 30 Or, x = 60 km Time taken to travel 60 km with speed of 10 km/hr = 60/10 = 6 hours Therefore, he started at 12 – 6 = 6 a.m. Therefore, required speed to reach the destination at 11 a.m. or 5 hours = 60/5 = 12 km/hr
A man invests ₹50,000 in a scheme offering compound interest at 10% per annum, compounded annually. He withdraws ₹25,000 after 2 years. If he lets t...
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 ...
Divide Rs. 53,285 into two parts such that the amount received from first part after 12 years is equal to the amount received from second part after 8 y...
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?
A sum of ₹20,000 is invested at an annual interest rate of 10% compounded half-yearly. What will be the total amount after 2 years?
A person invested ₹15000 in a scheme for 3 years at 8% compound interest, compounded annually. After 3 years, the person decided to withdraw the amoun...
What is the difference between the compound interest, when interest is compounded 5-monthly, and the simple interest on a sum of ₹12,000 for 1(1/4) y...
A invest Rs. X at 10% compound interest for 3 years. If difference between the interest of 3rd year and 2nd year is Rs. 1210, find the value of X.
At what rate percent per annum will Rs. 75,000 yields a compound interest of Rs. 6,120 in 6 months, if the interest is being compounded quarterly? Calcu...
For 2 years at 12.5% p.a. (compounded yearly), CI exceeds SI by Rs. 312.5. Find the sum.
Relevant for Exams:
