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A hotel has two types of expenses one is constant and other is depends upon guests. When there is 15 guests then expenses is Rs. 10900 and when guests are 5 then expenses is Rs. 3900. Find number of guests when expenses is Rs. 17900.

A hotel has two types of expenses one is constant and other is depends upon guests. When there is 15 guests then expenses is Rs. 10900 and when guests are 5 then expenses is Rs. 3900. Find number of guests when expenses is Rs. 17900. Correct Answer 25

Given:

Let constant expenses of hotel be Rs. M and variable expenses of hotel be Rs. N.

Calculation:

⇒ 10900 = M + N × 15

⇒ 3900 = M + N × 5

Solving,

⇒ M = Rs. 400 and N = Rs. 700

Then,

⇒ 17900 = 400 + 700 × ?

⇒ ? = 25

∴ Number of guests would be 25 when expenses is Rs. 17900.

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