Question Details

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
2 : 3
B 550
6 : 5
C 700
3 : 4
D 600
8 : 7
E 250
11 : 14

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?

Options

A

8 :7

B

8 :5

C

11 :5

D

8 :11

Show Answer

Correct Answer :

Option B

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:

MI TVs (Shop A)=25Ă—400=160

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:

MI TVs (Shop D)=815Ă—600=320

Step 4: Find the total number of MI TVs sold by Shop A and D together

Total MI TVs (A + D)=160+320=480

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:

MI TVs (Shop C)=37Ă—700=300

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:

Ratio=480:300

Simplifying the ratio by dividing both terms by 60:

Required Ratio=48060:30060=8:5

Thus, the final ratio is 8 : 5.

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