Read the following table carefully and answer the following question.
Following table shows total number of T.V. sold by five shop (A, B, C, D and E) which sells two brand TV i.e., MI and LG and ratio of number of MI TV sold to number of LG TV sold in by each five shops.
| Shops | Total number of TV (MI and LG) | Ratio of MI TV : LG TV |
|---|---|---|
| A | 400 |
|
| B | 550 |
|
| C | 700 |
|
| D | 600 |
|
| E | 250 |
|
Find the ratio between total number of MI TV sold by shop A and D together to number of MI TV sold by shop C?
Correct Answer :
8 :5
Solution :
The correct answer is 8 : 5.
Step 1: Analyze the data from the table
From the given table, we can extract the total number of TVs sold and the ratio of MI TVs to LG TVs for each relevant shop:
• Shop A: Total TVs = 400, Ratio of MI : LG = 2 : 3
• Shop C: Total TVs = 700, Ratio of MI : LG = 3 : 4
• Shop D: Total TVs = 600, Ratio of MI : LG = 8 : 7
Step 2: Calculate the number of MI TVs sold by Shop A
The ratio of MI to LG TVs for Shop A is 2 : 3, which gives a total of 2 + 3 = 5 ratio parts.
Number of MI TVs sold by Shop A:
Step 3: Calculate the number of MI TVs sold by Shop D
The ratio of MI to LG TVs for Shop D is 8 : 7, which gives a total of 8 + 7 = 15 ratio parts.
Number of MI TVs sold by Shop D:
Step 4: Find the total number of MI TVs sold by Shop A and D together
Step 5: Calculate the number of MI TVs sold by Shop C
The ratio of MI to LG TVs for Shop C is 3 : 4, which gives a total of 3 + 4 = 7 ratio parts.
Number of MI TVs sold by Shop C:
Step 6: Determine the required ratio
We need to find the ratio of total MI TVs sold by shops A and D together to the number of MI TVs sold by shop C:
Simplifying the ratio by dividing both terms by 60:
Thus, the final ratio is 8 : 5.
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