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The expenses of a hostel consist of two parts, one part varies with the number of inmates while the cither is always constant. When the num…

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The expenses of a hostel consist of two parts, one part varies with the number of inmates while the cither is always constant. When the number of inmates is 200 is 250, the expenses are respectively Rs. 1300 and 1600. Then the expenses for 300 inmates are

A1800
B1900
C2400
D2100

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Discussion 1

CCommunity17 May 2019

Let a and b are constants.

Given,

⇒ 1300 = 200A + B

⇒ 1600 = 250A + B

Solving equations,

⇒ 50A = 300

⇒ A = 6

Then,

⇒ B = 1300 - 1200 = 100

For 300 inmates,

Expenses = 300 × 6 + 100 = 1900

∴ Expenses for 300 inmates is Rs. 1900