Five students went to a shop for buying stationery items. Four of them spent Rs. 100 each on their shopping and fifth student spent Rs. 16 less than the average expenditure of all the five. What amount of money spent by fifth student?

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AhmedNazir · Answer 1 · Sep 04, 2022 04:29:57

Option 3 : Rs. 80

Average = (sum of elements)/(number of elements)

Let the money spent by fifth student be Rs. M and average money spent by all five students be N.

Given,

Four of them spent Rs. 100 on their shopping

Total amount of money spent by four students = 4 × 100 = 400

Total amount of money spent by four students is Rs. 400.

Total amount of money spent by all five students = 400 + M

Average money spent by all five students = total amount of money spent by all five students/ 5

⇒ N = (400 + M)/5

Given,

And fifth student spent Rs. 16 less than the average expenditure of all the five -

⇒ M = N - 16

⇒ N = M + 16

Then,

⇒ (M + 16) = (400 + M)/5

⇒ 5M + 80 = 400 + M

⇒ 4M = 400 - 80

⇒ 4M = 320

⇒ M = 80

∴ Money spent by fifth student is Rs. 80.

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