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Read the following information carefully and answer the question given below-
Certain number of people work in retail, online and door to door stores. There are only three type of stores and each people work in one or more store. 72% of people were in retail store and people working in only door-to-door store was 1/36th of people working in retail store. Number of people working in both door to door store and online store but not in retail store are 55. People working in only online store are 65 more than the people working in only door-to-door store. Number of people working in only retail store is 160/3% more than number of people working in online store.
Q. What is the total number of people working in all stores?
  • a)
    360
  • b)
    300
  • c)
    250
  • d)
    400
  • e)
    500
Correct answer is option 'E'. Can you explain this answer?
Most Upvoted Answer
Read the following information carefully and answer the question give...
Total Number of People Working in All Stores: 500

Explanation:
Given:
- 72% of people work in retail stores.
- The number of people working in only door-to-door stores is 1/36th of the people working in retail stores.
- The number of people working in both door-to-door and online stores, but not in retail stores, is 55.
- The number of people working in only online stores is 65 more than the number of people working in only door-to-door stores.
- The number of people working in only retail stores is 160/3% more than the number of people working in online stores.

Let's solve this step by step:

Step 1: Calculate the number of people working in retail stores.
Let the total number of people be represented by 'x'.
72% of people work in retail stores, so the number of people working in retail stores = 72% of x = (72/100)x = 0.72x.

Step 2: Calculate the number of people working in only door-to-door stores.
The number of people working in only door-to-door stores is 1/36th of the number of people working in retail stores.
So, the number of people working in only door-to-door stores = (1/36)(0.72x) = 0.02x/3.

Step 3: Calculate the number of people working in both door-to-door and online stores, but not in retail stores.
The number of people working in both door-to-door and online stores, but not in retail stores, is given as 55.

Step 4: Calculate the number of people working in only online stores.
The number of people working in only online stores is 65 more than the number of people working in only door-to-door stores.
So, the number of people working in only online stores = (0.02x/3) + 65.

Step 5: Calculate the number of people working in only retail stores.
The number of people working in only retail stores is 160/3% more than the number of people working in online stores.
So, the number of people working in only retail stores = (0.02x/3) + 65 + 160/3.

Step 6: Calculate the total number of people working in all stores.
The total number of people working in all stores = Number of people working in retail stores + Number of people working in only door-to-door stores + Number of people working in only online stores + Number of people working in both door-to-door and online stores, but not in retail stores.
= 0.72x + 0.02x/3 + (0.02x/3 + 65) + 55
= 0.72x + 0.02x/3 + 0.02x/3 + 65 + 55
= 0.72x + 0.04x/3 + 120
= (0.72x + 0.04x + 360)/3
= (0.76x + 360)/3

Given that the total number of people working in all stores is 500, we can equate the above expression to 500 and solve for 'x'.

(0.76x + 360)/3 = 500
0.76x + 360 = 150
Free Test
Community Answer
Read the following information carefully and answer the question give...
According to the question,
Number of people work in retail, online and door to door stores.
People working in online and door to door but not in retail are 55.
So, let us assume the total number of people = 100x
Therefore, people working in Retail stores = 72x
Let, people working in only door to door = 2x
People working in only online store = 2x + 65
People working in online and door to door but not in retail = 55
According to question, (100x – 72x – 2x) – (2x + 65) = 55
24x – 65 = 55
24x = 120
x = 5
So, put the value of x.
Therefore, total number of people = 100x = 100 × 5 = 500
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Read the following information carefully and answer the question given below-Certain number of people work in retail, online and door to door stores. There are only three type of stores and each people work in one or more store. 72% of people were in retail store and people working in only door-to-door store was 1/36th of people working in retail store. Number of people working in both door to door store and online store but not in retail store are 55. People working in only online store are 65 more than the people working in only door-to-door store. Number of people working in only retail store is 160/3% more than number of people working in online store.Q. What is the total number of people working in all stores?a)360b)300c)250d)400e)500Correct answer is option 'E'. Can you explain this answer?
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