Q107. A shopkeeper has a total daily collection of * 11,200, 310,650, 11,870 and 12,180 in 4 consecutive months. What should be the daily
collection in the fifth month such that the average daily collection for 5 months become 11,050?
(Mark
O (A) 9350
O (B) 9200
Answers
Answer:
Option A
Step-by-step explanation:
Given Question:-
A shopkeeper has a total daily collection of * 11,200, 310,650, 11,870 and 12,180 in 4 consecutive months. What should be the daily
collection in the fifth month such that the average daily collection for 5 months become 11,050?
Correct Question:-
A shopkeeper has a total daily collection of
Rs.11,200, Rs. 10,650,Rs. 11,870 and Rs. 12,180 in 4 consecutive months. What should be the daily
collection in the fifth month such that the average daily collection for 5 months become Rs.11,050?
Solution:-
Given that
Daily collection of a shopkeeper in first month = Rs. 11200
Daily collection of a shopkeeper in second month = Rs. 10650
Daily collection of a shopkeeper in third month = Rs. 11870
Daily collection of a shopkeeper in fourth month = Rs. 12180
Let the Daily collection of a shopkeeper in fifth month = Rs. X
Sum of all daily collection of the shopkeeper in five months =
= 11200+10650+11870+12180+X
= Rs. (45900+X)
Number of months = 5
We know that
Average = Sum of all observations/ Number of all observations
Average of daily collection of 5 months
Average = Sum of all collections/ Number of months
Average = (45900+X)/5
According to the given problem
The average daily collection for 5 months
= Rs.11,050
=> (45900+X)/5 = 11,050
=> 45900+X = 11050×5
=> 45900+X = 55250
=> X = 55250-45900
=> X = Rs. 9350
Daily collection in fifth month = Rs. 9350
Answer:-
The daily collection of the shopkeeper for the fifth month is Rs. 9350
Used formula:-
Average = Sum of all observations / Number of all observations