The average price of a ring in a bunch of rings is Rs. 45. The good quality rings (45% of total rings) is of average price Rs. 60 and the damaged rings (20% of total rings) is of average price Rs. 55. Find the average price of the remaining rings.
The average price of a ring in a bunch of rings is Rs. 45. The good quality rings (45% of total rings) is of average price Rs. 60 and the damaged rings (20% of total rings) is of average price Rs. 55. Find the average price of the remaining rings.
1). Rs. 20
2). Rs. 26
3). Rs. 17
4). Rs. 22
1 answers
⇒ Average = sum of elements / number of elements
Given,
The average price of bunch of rings is Rs. 45.
Let the number of rings in a bunch be N.
⇒ Total price of N number of rings = 45 × N
The good 45% of them is of average price of Rs. 60 and damaged 20% of average price of Rs. 55.
⇒ Number of good rings in bunch = (45/100) × N = 9N/20
⇒ Total price of good rings = 60 × (9N/20) = 27N
⇒ Number of damaged rings in a bunch = (20/100) × N = N/5
⇒ Total price of damaged rings = 55 × (N/5) = 11N
Total number of remaining rings =
= 100 - (45 + 20)
= 35%
Total number of remaining rings =
= (35/100) × N
= 7N/20
Total price of remaining rings =
= 45N - (27N + 11N)
= 7N
Total number of remaining rings = 7N/20
Average price of remaining rings =
= Total price of remaining rings / number of remaining rings
= 7N/ (7N/20)
= 20
Average price of remaining rings IS Rs. 20.