Question
If the difference between the
compound interest (compounded annually) and the simple interest accrued over two years at a rate of 20% per annum is ₹400, determine the principal amount invested.Solution
ATQ, Let the sum invested be Rs. 'S' Simple interest earned = {(S × 20 × 2)/100} = Rs. '0.4S' Compound interest = S × [{1 + (20/100)}2 - 1] = Rs. '0.44S' ATQ; 0.44S - 0.4S = 400 Or, 0.04S = 400 So, S = 10,000
Two cyclists, ‘P’ and ‘Q’, started from locations ‘L’ and ‘R’ towards each other at the same time. When they met after 4 hours, cyclist ...
Average speed of ‘A’ during a 24-hour journey is 32 km/h. If he covered the first 160 km of his journey at a speed of 20 km/h, then find the speed a...
Ravi travels the first 40% of a certain distance at a speed of 20 km/h, the next 30% at 10 km/h, and covers the remaining 30% at 12 km/h. Calculate Ravi...
- A windmill rotates 60 times in 1.5 hours. Find the number of rotations made by the windmill in 36 minutes.
A bus takes 6 hours to travel from city P to city Q. If the speed was reduced by 10% after covering 120 km, it takes 30 more minu...
The speed of two cars A and B are in the ratio of 8:11 respectively. Car A travels 18 km less than the car B in the same time duration. What was the dis...
A car travels at a speed of 90 km/h and takes 4.5 hours to cover a specific distance. A train can cover the same distance in 3 hours. If the speed of th...
In an examination, the average marks obtained by the students is 75. After correcting the quantitative mistakes, the average of 100 students is reduced ...
The distance between two stations is 1520 km. Train A takes 9 hours longer than Train B to cover this distance. If Train B travels 72 km/h faster than T...
Resham travels 60 km at 20 km/h by cycle, 120 km at 60 km/h by car, and the remaining 10 km on foot at 2.5 km/h. Find her average speed for the whole jo...
Relevant for Exams:
