Five men decide to go shopping to Karol Bagh, Delhi. They arrived at the designated meeting place in the following order: 1. Raman, 2. Aman, 3. Dev, 4. Sanjay, and 5. Kamal. Each men spent at least Rs. 1000 below are some additional facts about how much they spent during their shopping spree. 

i. The man who spent Rs. 2234 arrived before the man who spent Rs. 1193.

ii. One man spent Rs. 1340 and he was not Dev.

iii. One man spent Rs. 1378 more than Aman.

iv. One man spent Rs. 2517 and he was not Raman.

v. Sanjay spent more than Dev.

vi. Kamal spent the largest amount and Aman the smallest.

What was the amount spent by Sanjay?

Option 1 -

Rs. 1193

Option 2 -

Rs. 1340

Option 3 -

Rs. 2234

Option 4 -

Rs. 2517

0 1 View | Posted 3 months ago
Asked by Shiksha User

  • 1 Answer

  • V

    Answered by

    Vishal Baghel | Contributor-Level 10

    3 months ago
    Correct Option - 2


    Detailed Solution:

    One of the men spent 2517 – 1378 = 1139, he is Aman. This is the only possibility as we add Rs. 1378 even to the least amount Rs. 1193, we will not be able to satisfy all the conditions given simultaneously.

    So, the table obtained is:

    Raman

    Aman

    Dev

    Sanjay

    Kamal

    2234

    1139

    1139

    1340

    2517

    (b)

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V
Vishal Baghel

(c)                                                                                                                                                                 

V
Vishal Baghel

the highest average is Rs. 136   

V
Vishal Baghel

Using the data from above question, the lowest average is Rs. 100.

V
Vishal Baghel

We get the following table of earnings:

Persons

Win Total

Average

P

36 * 150 + 14 * 100 = 6800

136

Q

34 * 150 + 21 * 100 = 7200

131

R

23 * 150 + 36 * 100 = 6850

116

S

30 * 150 + 30 * 100 = 6000

100

Now we can see that the largest difference

= Maximum – Minimum = Rs. 7500 – Rs. 6800

= Rs. 700

V
Vishal Baghel

IITs = 60; IIMS = 40   

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