MAT Exam 2021 Paper

Concept:Use cost price variables and form equations from the given profit and loss conditions.Explanation:Let the cost price of the computer system be $a$ and the colour printer be $b$.First condition: no overall loss or gain, so total selling price equals total cost price.$$a + b = \frac{90}{100}a + \frac{120}{100}b$$Simplifying:$$100a + 100b = 90a + 120b$$$$\Rightarrow a - 2b = 0 \Rightarrow a = 2b$$Second condition: overall loss is ₹800.$$(a + b) - 800 = \frac{105}{100}a + \frac{85}{100}b$$Simplifying:$$-a + 3b = 16000$$Substitute $a = 2b$:$$-2b + 3b = 16000$$$$\Rightarrow b = 16000$$Thus, the cost paid for the colour printer is ₹16000.Answer:₹16000, i.e., Option A.