The numbers 2, 3, 4 and 5 occur (2 + 5k), (5k - 7), (2k - 3) and (k + 2) times, respectively. The average of the numbers is 2.85. Later on, the number 2 was replaced by 6 in all the places. What is the average of the new numbers?
Krishan invested a sum of ₹25,000 in two parts. He earned 11% p.a. simple interest on part 1 and 10% p.a. compound interest compounded annually on part 2. If the total interest received by him after 2 years is ₹5,370, then find the sum invested on simple interest.
An article is listed at ₹5,000 and two successive discounts of 12% and 12% are given on it. How much will the seller gain or lose if he gives a single discount of 24%?
The given pie charts show the distribution of students of graduate and postgraduate levels in five different institutes, P, Q, R, S and T, in a town. Study the pie charts and answer the question that follows.
(i) Total number of students of graduate level in five different institutes = 12400
(ii) Total number of students of postgraduate level in five different institutes = 8000.
The total number of graduate and postgraduate level students in institute Q is:
