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Abhishek Khurana B.Com (Honours) from Panjab University MBA in Marketing from NMIMS 2009-2011 Plus Educator on Unacademy 8 years teaching experience 6 times 99 percentiler in CAT

32 must solve questions of AVERAGES AND ALLEGATIONS for CAT

Introduction Q15. Average of 10 terms increases by 10, when 10 more terms are added to it. Find the sum of these 10 newly added terms, if average of these new 10 terms is double the average of the initial 10 terms.

Introduction Q15. Average of 10 terms increases by 10, when 10 more terms are added to it. Find the sum of these 10 newly added terms, if average of these new 10 terms is double the average of the initial 10 terms. Solution: Let initial average of 10 terms be x' So, the new average atter the inclusion of 10 new terms would be (x+ 10) Initial sum = 10 * x New sum 20(x + 10) And the average of the 10 new terms = 2x So, their sum 2x x 10 20x Equating the sums, we get 10x + 20x = 20x + 10) x = 20 Sum of newly added 10 numbers 20x 20 x 20 400.

Introduction Q16. A boat has a maximum capacity to carry 1200 kg. There are 20 children and 20 adults waiting on the river bank to cross the river in the boat Each child weighs 30kg and each adult weighs 50kg. Ten of the children are also carrying a school bag weighing 5kg. If every child on the boat must be accompanied by an adult, what is the maximum number of people who can board the boat?

Introduction Q16. A boat has a maximum capacity to carry 1200 kg. There are 20 children and 20 adults waiting on the river bank to cross the river in the boat Each child weighs 30kg and each adult weighs 50kg. Ten of the children are also carrying a school bag weighing 5kg. If every child on the boat must be accompanied by an adult, what is the maximum number of people who can board the boat? Solution: Children without bag weighs 10 x 30 300 kg and are accompanied by 10 adults weighing 10 x 50 500 kg Therefore, capacity left on boat 1200 - 800 kg 400 kg Now a child with bag accompanied with an adult weighs 35 + 50 85 kg 85 x 4 340 kg is also occupied, but still 60 kg is left. Therefore, 1 adult could bow the boat. Number of people 10+ 10+8+1 29

Introduction Q17. The average salary of marketing department, having 22 employees working, of ABC company is 3.7 lac more than the average salary of operations department, having 15 employees working, of same company. If the average salary of all 37 employees is 5.6 lacs, find the average salary (in lac) of marketing department.

Introduction Q17. The average salary of marketing department, having 22 employees working, of ABC company is 3.7 lac more than the average salary of operations department, having 15 employees working, of same company. If the average salary of all 37 employees is 5.6 lacs, find the average salary (in lac) of marketing department. Solution: Let average salary of operations department be x lac. Then, average salary of marketing department becomes (x + 3.7) lac. So, 22(x + 3.7) + 15x 37 x 5.6 x- 3.4 Hence, average salary of marketing department- 7.1 lac

Introduction Q18. The average monthly salary of 12 workers and 3 managers in a factory was Rs. 600. When one of the managers, whose salary was Rs. 720, and c worker, whose salary was Rs 300, were replaced with a new manager and a new worker, where the salary of the new worker was Rs 200, then the average salary of the team dropped down to Rs.580. What is the salary (in Rs.) of the new manager?

Introduction Q18. The average monthly salary of 12 workers and 3 managers in a factory was Rs. 600. When one of the managers, whose salary was Rs. 720, and c worker, whose salary was Rs 300, were replaced with a new manager and a new worker, where the salary of the new worker was Rs 200, then the average salary of the team dropped down to Rs.580. What is the salary (in Rs.) of the new manager? Solution: The total salary of the 15 employees 15 x 600 9000 Total salary reduced after the change of two employees by 15 x 20 out of which 100 dropped due to the new worker. So, 200 must have dropped due to the new manager As the salary of the exiting manager is 720, the salary of the new manager 720 - 200 520

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Abhishek Khurana

I am Abhishek Khurana. I completed my B.Com(H) from Panjab University in 2008 & my MBA from NMIMS in 2011.

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KARTIK MURATHIYA

a year ago

sir aage peeche cross ka concept kya h

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Vineet Loomba

a year ago

Uske liye shuru k lesson dekho .wahan smjhaya h