Multiple choice

Passage

Directions: In the following question, two quantities are given numbered I and II. Determine the relationship between the quantities and choose the appropriate option. Give answer according to these codes: (1) If Quantity I ≥ Quantity II (2) If Quantity I > Quantity II (3) If Quantity I < Quantity II (4) If Quantity I ≤ Quantity II (5) If Quantity I = Quantity II, or the relationship cannot be established from the information given.

Quantity I: The cost price of an article, if it is sold at Rs. 480 and the profit is one-fifth of its cost price Quantity II: The cost price of an article, if it is sold at Rs. 640 and the profit is one-seventh of its cost price

  1. (1)

  2. (2)

  3. (4)

  4. (3)

  5. (5)
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Quantity I: CP + 0.2CP = 480 => 1.2CP = 480 => CP = 400. Quantity II: CP + (1/7)CP = 640 => (8/7)CP = 640 => CP = 560. Since 400 < 560, Quantity I < Quantity II.

AI explanation

For Quantity I, using the formula selling price equals cost price plus profit, we get 480 = cost price + (1/5)cost price, so the cost price is 400. For Quantity II, we get 640 = cost price + (1/7)cost price, making the cost price 560. Comparing the two values, 400 is less than 560, so Quantity I is less than Quantity II.

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