Multiple choice

Passage

Directions: The question contains a statement that is followed by quantities I, II and III. Read the information clearly and answer your question accordingly. The options represent the relations between these three quantities K) > L) < M) = N) ≤ O) ≥ For example: Quantity I = 200 Quantity II = 300 Quantity III = 100 (a) K, L (b) L, M (c) L, K (d) O, L (e) L, N Quantity I < Quantity II > Quantity III So, answer is (c)

Quantity I: The value of A, if the cost price of an article is Rs. A and percent marked up is 15%, then the marked price is Rs. 145 less than the marked price, when the cost price of the same article is Rs. (A + 100) and percent marked up is 20%. Quantity II: The value of B, if the cost price of an article is Rs. B and the profit percent is 20%, then the selling price is Rs. 140 less than the selling price, when the cost price of the same article is Rs. (B + 100) and the profit percent is 25%. Quantity III: The value of C, if the selling price of an article is Rs. C and the discount percent is 20%, then the marked price is Rs. 100 less than the marked price, when the selling price of the same article Rs. (C + 50) and the discount percent is 25%.

  1. a

  2. b

  3. c

  4. d

  5. e
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A Correct answer
AI explanation

For Quantity I, the equation is 1.15A = 1.20(A + 100) - 145, which simplifies to 1.15A = 1.20A + 120 - 145, yielding A = 500. For Quantity II, the equation is 1.20B = 1.25(B + 100) - 140, which simplifies to 1.20B = 1.25B + 125 - 140, yielding B = 300. For Quantity III, the equation is C / 0.80 = (C + 50) / 0.75 - 100, which simplifies to 1.25C = 1.333C + 66.67 - 100, yielding C = 100. The relation between the quantities is Quantity I (500) > Quantity II (300) > Quantity III (100), which corresponds to the answer (a).

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