Question
Amrita traveled a certain distance, covering 50% of it
at a speed of 15 km/h, then 40% of the remaining distance at 7.5 km/h, and the rest at 9 km/h. If it took her a total of 14 hours to complete the entire journey, what is the total distance she covered?Solution
ATQ, We can say that distance covered by Amrita be ‘100a’ km. Distance covered at 15 km/h = 100a × 0.50 = ‘50a’ km Distance covered at 7.5 km/h = 50a × 0.40 = ‘20a’ km Distance covered at 9 km/h = 50a – 20a = ‘30a’ km ATQ; (50a/15) + (20a/7.5) + (30a/9) = 14 Or, 150a + 120a + 150a = 14 × 45 Or, 420a = 14 × 45 So, a = 1.5 So, required distance = 100 × 1.50 = 150 km
If you invest Rs. 5,000 in a fixed deposit account with an annual interest rate of 8%, compounded annually, how much money will you have after 3 years?
- The compound interest on a certain principal for 2 years at 7% per annum compounded annually is Rs. 289.80. What will be the simple interest for the same d...
A certain sum of money becomes 4000 in 6 years and Rs. 5000 in 10 years at any certain rate of simple interest. Find the principal amount.
Roshan and Rahul received marks in their quarterly exam in a ratio of 9:8. Additionally, the ratio of marks Roshan obtained in the quarterly exam to the...
Arjun borrowed Rs. 5000 at R% S.I. and Rs. 6000 at (R + 5)% S.I. for 2 years. The total interest paid was Rs. 2800. Find the rate at which he borrowed R...
The difference between compound interest and simple interest at the same rate for Rs. 3600 for 2 years is Rs. 36. The rate of interest per annum is:
An amount doubles itself on simple interest in 3 years. What is the percent per annum rate of interest?
The difference between the interests received when Rs. x is invested in scheme ‘A’ at simple interest for 3 years and at compound interest, compound...
A invested Rs. ‘x’ in a scheme offering compound interest of 40% p.a. compounded annually. If at the end of 2 years, interest received by A was Rs. ...
'K' distributed his investments among two distinct funds, Mutual Fund X and Mutual Fund Y, in the respective ratio of 9:8. While Mutual Fund X generates...
Relevant for Exams:
