Question
David takes a loan of Rs. 20000
from his friend Alex, which he is to return at 10% p.a. simple interest after 5 years. Alex takes a loan from George, which he returns after 2 years at 10% p.a. compound interest. If Alex returns Rs. 24200 to George, then what is the difference between the amount borrowed by Alex from George and the amount returned by David to Alex?Solution
Amount David Returns to Alex: Principal: 20000, Rate: 10%, Time: 5 years. Simple Interest = (20000×10×5)/100 = 10000. Total Amount = 20000+10000=30000.
Amount Alex Borrowed from George: Returned 24200, Rate: 10%, Time: 2 years. Using Compound Interest formula:
Difference: Amount returned by David: 30000. Amount borrowed by Alex: 20000 Difference = 30000 − 20000=10,000.
In a class of 30 students, 18 students like mathematics, 15 like science, and 8 like both subjects. What is the probability that a randomly selected stu...
A bag contains 20 white and some black balls. If the probability of drawing a black ball from the bag is 2.5 times that of drawing a white ball, find th...
There are 30 cars standing in a parking lot which consist of silver, grey and white cars. The number of grey and white cars are equal, and the number of...
Tokens numbered 1 to 350 are in a bag. What is the probability that the Token drawn has a number which is a multiple of 6 or 7?
Two cards are drawn together from a pack of 52 cards. The probability that one is a club and one is a diamond?
There are 'x' one-rupee coins, 'x + 5' two-rupee coins, and 'x - 5' five-rupee coins in a purse. Two coins are drawn from the purse without replacement,...
A class has 28 students, including 8 girls and the …… boys. If …… girls leave the class, the probability of randomly selecting a boy becomes 5/6...
Ajith engages in a game where he simultaneously tosses three coins and rolls a pair of dice. To win, he must achieve two outcomes: all three coins must ...
- A basket contains x black balls, (x + 3) white balls and (x + 6) yellow balls. If probability of picking a white ball is 1/11 more than that of picking a b...
A bag contains 3 black balls, 7 red balls and 5 white balls. Two balls are drawn simultaneously. Find the probability that both the balls are of same c...