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A and B invest in a business with investments of $3000 and $7000 respectively. I

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Question: A and B invest in a business with investments of $3000 and $7000 respectively. If they incur a loss of $2000, how much loss does A bear?

Options:

  1. $600
  2. $800
  3. $1200
  4. $1000

Correct Answer: $800

Solution:

Total investment = 3000 + 7000 = $10000. A\'s share of loss = (3000/10000) * 2000 = $600.

A and B invest in a business with investments of $3000 and $7000 respectively. I

Practice Questions

Q1
A and B invest in a business with investments of $3000 and $7000 respectively. If they incur a loss of $2000, how much loss does A bear?
  1. $600
  2. $800
  3. $1200
  4. $1000

Questions & Step-by-Step Solutions

A and B invest in a business with investments of $3000 and $7000 respectively. If they incur a loss of $2000, how much loss does A bear?
  • Step 1: Identify the amount A invested, which is $3000.
  • Step 2: Identify the amount B invested, which is $7000.
  • Step 3: Calculate the total investment by adding A's and B's investments: $3000 + $7000 = $10000.
  • Step 4: Determine the total loss incurred, which is $2000.
  • Step 5: Calculate A's share of the total investment: A's investment ($3000) divided by total investment ($10000). This gives A's share as 3000/10000 = 0.3.
  • Step 6: Calculate A's share of the loss by multiplying A's share (0.3) by the total loss ($2000): 0.3 * 2000 = $600.
  • Step 7: Conclude that A bears a loss of $600.
  • Proportional Loss Sharing – Understanding how losses are shared based on the proportion of investment.
  • Investment Ratios – Calculating the ratio of individual investments to total investments.
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