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 average number of LG TV sold by all the five shops?

Options

A

262

B

142

C

225

D

200

Show Answer

Correct Answer :

Option A

262

Solution :

Correct Answer: 262

To find the average number of LG TVs sold by all five shops, we first need to calculate the number of LG TVs sold by each shop individually using the given total TV sales and the ratio of MI TV to LG TV.

Step 1: Calculate the number of LG TVs sold by each shop

Shop A:
Total TVs = 400, Ratio (MI : LG) = 2 : 3

LG TVs sold by A=400Ă—32+3=400Ă—35=240

Shop B:
Total TVs = 550, Ratio (MI : LG) = 6 : 5

LG TVs sold by B=550Ă—56+5=550Ă—511=250

Shop C:
Total TVs = 700, Ratio (MI : LG) = 3 : 4

LG TVs sold by C=700Ă—43+4=700Ă—47=400

Shop D:
Total TVs = 600, Ratio (MI : LG) = 8 : 7

LG TVs sold by D=600Ă—78+7=600Ă—715=280

Shop E:
Total TVs = 250, Ratio (MI : LG) = 11 : 14

LG TVs sold by E=250Ă—1411+14=250Ă—1425=140

Step 2: Calculate the total number of LG TVs sold by all 5 shops

Total LG TVs=240+250+400+280+140=1310

Step 3: Calculate the average number of LG TVs sold

Average number of LG TVs=Total LG TVsTotal Number of Shops=13105=262

Thus, the average number of LG TVs sold by all five shops is 262.

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