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  • Directions for question: Behala Players’ Corner is a registered club known for its grand public annual Durga Puja celebration held at Beh

Directions for question:

Behala Players’ Corner is a registered club known for its grand public annual Durga Puja celebration held at Behala Chowrasta, Kolkata, under the patronage of the family of Mr Chandidas Ganguly, whose sons Mr Snehasis Ganguly and Mr Sourav Ganguly are notable members.

Mr Abhik Mishra, Mr Biplab Das, Mr Chinmoy Sen and Mr Dilip Palit, all of whom were very reputed and well-to-do local residents are actively involved every year as volunteers in collecting subscriptions on behalf of Behala Players’ Corner for the expenditure of Durga Puja celebrations. They are cumulatively entrusted with the responsibility of subscriptions from the four localities of Barisha, Bakultala, Sarsuna and Adarshapally, all areas being in the vicinity of Behala Players’ Corner.

The following partially filled table shows the subscriptions collected by each of them in the month of September 2021, a month before Durga Puja :

 

 

Total Cumulative Subscription from four localities

Maximum Cumulative Subscription from any locality

Cumulative Subscription from Barisha

Cumulative Subscription from Bakultala

Cumulative Subscription from Sarsuna

Cumulative Subscription from Adarshapally

Mr Abhik Mishra

Rs 4,11,600

Rs 1,17,600

Rs 74,400

 

 

 

Mr Biplab Das

Rs 2,78,400

Rs 91,200

 

 

 

Rs 21,600

Mr Chinmoy Sen

Rs 3,45,600

Rs 1,12,800

Rs 36,000

 

 

 

Mr Dilip Palit

Rs 1,29,600

Rs 57,600

 

 

 

Rs 14,400

TOTAL

Rs 11,65,200

 

Rs 2,44,800

Rs 3,44,400

Rs 3,28,800

Rs 2,47,200

 

It was also known that :

a) Each volunteer collected the maximum cumulative subscription from distinct localities out of the four. 

b) No volunteer collected equal subscriptions from any two localities.

c) Mr Biplab Das collected more subscriptions from Bakultala than Sarsuna.

d) The subscription collected by all four volunteers from each locality was a multiple of Rs 1,200.

Question:

If the subscription collected by Mr Dilip Palit from Bakultala was a natural number multiple of the subscription collected by him from Sarsuna, what could be his collection as subscription (in Rs) from the locality of Sarsuna ?

Option: 1

26,400

 

 


Option: 2

24,000

 


Option: 3

19,200

 


Option: 4

None of the above


Answers (1)

best_answer

The final figures of all the subscriptions collected by the four volunteers from the four localities are :

 

CASE 2A

Total Cumulative Subscription from four localities

Maximum Cumulative Subscription from any locality

Cumulative Subscription from Barisha

Cumulative Subscription from Bakultala

Cumulative Subscription from Sarsuna

Cumulative Subscription from Adarshapally

Mr Abhik Mishra

Rs 4,11,600

Rs 1,17,600

Rs 74,400

m

n

Rs 1,17,600

Mr Biplab Das

Rs 2,78,400

Rs 91,200

Rs 76,800

Rs 91,200

Rs 88,800

Rs 21,600

Mr Chinmoy Sen

Rs 3,45,600

Rs 1,12,800

Rs 36,000

Rs 1,03,200

Rs 1,12,800

Rs 93,600

Mr Dilip Palit

Rs 1,29,600

Rs 57,600

Rs 57,600

o

p

Rs 14,400

TOTAL

Rs 11,65,200

 

Rs 2,44,800

Rs 3,44,400

Rs 3,28,800

Rs 2,47,200

 

with the eight different combination of values of m, n, o and p being :

 

m

n

o

p

1

Rs 1,16,400

Rs 1,03,200

Rs 33,600

Rs 24,000

2

Rs 1,15,200

Rs 1,04,400

Rs 34,800

Rs 22,800

3

Rs 1,14,000

Rs 1,05,600

Rs 36,000

Rs 21,600

4

Rs 1,12,800

Rs 1,06,800

Rs 37,200

Rs 20,400

5

Rs 1,11,600

Rs 1,08,000

Rs 38,400

Rs 19,200

6

Rs 1,08,000

Rs 1,11,600

Rs 42,000

Rs 15,600

7

Rs 1,10,400

Rs 1,09,200

Rs 39,600

Rs 18,000

8

Rs 1,09,200

Rs 1,10,400

Rs 40,800

Rs 16,800

 

The subscription collected by Mr Dilip Palit from Bakultala is o, and the subscription collected by him from Sarsuna is p.

o is a natural number multiple of p only in the combination numbered 5, as 38400 = 2*19200

Hence, his collection as subscription (in Rs) from the locality of Sarsuna = Rs 19,200

 

Posted by

Sayak

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