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A New Year party was organised for which 150 people were invited, such that the average cost of food per person was Rs. 1840. But, due to the absence of some people at the party, the average cost of food per person increased by Rs. 160. How many of the invited people did not attend the party?

A New Year party was organised for which 150 people were invited, such that the average cost of food per person was Rs. 1840. But, due to the absence of some people at the party, the average cost of food per person increased by Rs. 160. How many of the invited people did not attend the party? Correct Answer 12

No. of people invited = 150

Average cost of food per person = Rs. 1840

⇒ Total cost of food = 150 × 1840 = Rs. 276000

Let ‘x’ people attended the party

∵ The average cost of food increased by Rs. 160,

⇒ Average cost of food per person became = 1840 + 160 = Rs. 2000

⇒ 2000x = 276000

⇒ x = 276000/2000 = 138

∴ No. of invited people that did not attend the party = 150 – 138 = 12

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