A consignment consists of 2 bags containing 95 balls each. The shopkee...
Given information:
- There are 2 bags in the consignment.
- Each bag contains 95 balls.
- The shopkeeper pays Rs. 2812 for the consignment.
- Another shopkeeper pays Rs. 1776 for the consignment.
To find:
The number of dozens of balls in the consignment.
Solution:
Step 1: Calculate the cost per ball
To find the cost per ball, we divide the total cost of the consignment by the total number of balls.
Cost per ball = Total cost / Total number of balls
For the first shopkeeper:
Total cost = Rs. 2812
Total number of balls = 2 bags * 95 balls/bag = 190 balls
Cost per ball for the first shopkeeper = Rs. 2812 / 190 = Rs. 14.8
For the second shopkeeper:
Total cost = Rs. 1776
Total number of balls = 2 bags * 95 balls/bag = 190 balls
Cost per ball for the second shopkeeper = Rs. 1776 / 190 = Rs. 9.35
Step 2: Calculate the number of dozens of balls
To find the number of dozens of balls, we divide the total number of balls by 12 (since there are 12 balls in a dozen).
Number of dozens of balls = Total number of balls / 12
For the first shopkeeper:
Number of dozens of balls = 190 balls / 12 = 15.83 dozens
For the second shopkeeper:
Number of dozens of balls = 190 balls / 12 = 15.83 dozens
Step 3: Conclusion
Both shopkeepers received the same number of dozens of balls, which is approximately 15.83 dozens. However, since the number of dozens must be a whole number, we round down to the nearest whole number.
Therefore, the number of dozens of balls in the consignment is 15 dozens.
A consignment consists of 2 bags containing 95 balls each. The shopkee...
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