Multiple choice

A shopkeeper sold 32 dozen mangoes and made a profit of \$384. What was the cost price of each mango? To find out the answer, which of the following information given in the statements I and II is sufficient? I. The percentage profit was 20. II. The total sale proceeds were \$1920.

  1. Both I and II together are needed.

  2. Either I or II alone is sufficient.

  3. I and II together are not sufficient.

  4. I alone is sufficient.

  5. II alone is sufficient.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Cost price per mango can be found if we know the total profit and profit percentage (I), or if we know total sales and total profit (II). Both are sufficient independently.

AI explanation

Using statement I, the total cost price is the profit of \$384 divided by the 20 percent profit, which equals \$1920; dividing this by 32 dozen (384 mangoes) gives a cost price of \$5 per mango. Using statement II, the cost price is total sale proceeds of \$1920 minus the profit of \$384, which is \$1536; dividing this by 384 mangoes also gives a cost price of $4 per mango. Therefore, either statement I or statement II alone is sufficient to find the answer.

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