GATE | GATE CS 2019 | Question 6

Ten friends planned to share equally the cost of buying a gifts for their teacher. When two of them decided not to contribute, each of the other friends had to pay Rs. 150 more. The cost of the gift was Rs. _________ .
(A) 666
(B) 3000
(C) 6000
(D) 12000


Answer: (C)

Explanation: Let share of each student = x

Since cost of gift will be same in both situation, therefore,

→ 10*x = 8*(x + 150) 
→ 10*x = 8*x + 8*150
→ 2*x = 8*150
→ x = 8*150 / 2
→ x = 600 

Therefore, cost of gift is,

10*x = 10*600 = 6000 

Option (C) is correct.


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