Multiple choice

Amir and Jason started a business together. They invested $64,000 in total in a partnership firm. What is 62% of the money Amir invested? (1) Amir invested three times the money Jason invested. (2) They gained 10% profit on the money invested.

  1. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

  2. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

  3. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

  4. Each statement alone is sufficient.

  5. Statements (1) and (2) TOGETHER are NOT sufficient.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Statement 1: Amir = 3 * Jason. Total = 4 * Jason = 64000. Jason = 16000, Amir = 48000. We can find 62% of Amir's investment. Statement 2: Profit is 10%, but we don't know the split. Statement 1 is sufficient.

AI explanation

Statement 1 provides the relationship between the investments, stating Amir invested three times the money Jason invested. Using this, if Jason's investment is J and Amir's is 3J, their total is 4J, so 4J equals 64,000 and J is 16,000. This allows you to calculate Amir's investment as 48,000 and find 62% of it, meaning statement 1 alone is sufficient. Statement 2 only provides the overall profit percentage and gives no information about the individual investments, so statement 2 alone is not sufficient.

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