1.A total of Rs. 6000 is divided into two loans. One portion is lent at a simple interest rate of 7% per annum, while the other portion is lent at 10% per annum. If the total interest earned after one year amounts to Rs. 450, what is the ratio of the amounts lent at the lower rate to the higher rate?
2.A merchant bought two color TVs for a combined price of Rs. 35,000. He sold one TV at a 30% gain and the other at a 40% gain. If his overall profit was 32%, what is the difference between the cost prices of the two TVs?
3.The average weight of a group increased from 48 kg to 51 kg after two new individuals weighing 78 kg and 93 kg joined. How many members were originally in the group?
4.A student scored a total of 60 marks in Mathematics and Physics combined. His Chemistry score exceeds his Physics marks by 20. What is the average of his marks in Mathematics and Chemistry?
5.Five years ago, the average age of persons A and B was 40 years. Currently, the average age of B and C is 48 years. What will be the age of B after ten years?
6.Aftab purchased 65 books for Rs.1150 from one store and 50 books for Rs.920 from another. What was the average cost he paid for each book?
7.A class has 50 students with an average height of 150 cm. Five students, each 146 cm tall, leave the class, and five new students join whose average height is 156 cm. What is the new average height of the class (in cm)?
8.Amir scored 64%, Masood obtained 36%, and Asif achieved 44% in an exam where the highest possible score is 800. What is the average score of the three students?
9.A class has an average score of 80 in an exam. If 5 students, whose average score is 40, are removed from the group, the new average of the remaining students rises to 90. How many students took the exam in total?
10.A student has an average score of 80 across three subjects: Physics, Chemistry, and Mathematics. If the combined average for Physics and Mathematics is 90, and the average for Physics and Chemistry is 70, what is the student's score in Physics?
11.Four positive integers have an average value of 69. The largest number is 93, and the smallest number is 39. The difference between the two middle integers is 28. What is the greater of these two middle integers?
12.A family consists of five members whose current average age is 26 years. If the youngest member is currently 10 years old, what was the average age of the family at the time when the youngest was born? (Assume no member has passed away since then.)
13.A student’s combined score in Physics, Chemistry, and Mathematics exceeds his Physics score by 150 marks. What is the average score he achieved in Chemistry and Mathematics?
14.The mean height of 35 boys in a class was initially recorded as 180 cm. Later, it was discovered that one boy's height was mistakenly noted as 166 cm instead of his true height, which is 106 cm. What is the corrected average height of the boys in the class? (Round your answer to two decimal places.)
15.Seven individuals are seated in a row facing east, and their average age is 28 years. If the first three people have an average age of 21 years, and the last three have an average age of 34 years, what is the age of the person in the center of the row?
16.A batsman has an average of 40 runs over 20 matches. In the following 10 matches, his average drops to 13 runs. What is his overall average across all 30 matches?
17.A group of boys has an average weight of 30 kg. When a boy weighing 35 kg joins the group, the average weight increases by 1 kg. How many boys were there in the group initially?
18.A salt company produced 5000 tonnes of salt in January of a certain year. From February onwards, the production increased by 100 tonnes each month compared to the previous month, continuing until December. What was the average monthly production of salt for that entire year?
19.A group of seven individuals has an average amount of Rs. 20 each. If a new member joins the group carrying Rs. 50, what was the average amount per person in the group before this new member arrived?
20.The total of five numbers is 655. The average of the first two numbers is 85, and the third number is 125. What is the average of the last two numbers?