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Out of a total profit of Rs 12,000, A received Rs 8000 as his share. If A invested Rs 20000 for 6 months while B invested his amount for the whole year, then find the amount that B invested.
- a)Rs 6,000
- b)Rs 7,000
- c)Rs 6,500
- d)Rs 5,000
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Out of a total profit of Rs 12,000, A received Rs 8000 as his share. I...
D) Rs 5,000 Explanation: Profits ratio = 8000 : 4000 = 2 : 1 So 20,000*6 : x*12 = 2 : 1 10000/x = 2/1 x = 5,000
Most Upvoted Answer
Out of a total profit of Rs 12,000, A received Rs 8000 as his share. I...
To find out the amount that B invested, we can use the concept of profit sharing.
Given:
Total profit = Rs 12,000
A's share = Rs 8,000
A's investment = Rs 20,000 for 6 months
Let's assume B's investment as x.
Steps to solve the problem:
1. Calculate the ratio of A's share to A's investment:
A's ratio = A's share / A's investment = Rs 8,000 / Rs 20,000 = 2/5
2. Calculate the ratio of B's share to B's investment:
B's ratio = (Total profit - A's share) / (B's investment) = (Rs 12,000 - Rs 8,000) / (x) = Rs 4,000 / (x)
3. Equate the ratios of A and B:
A's ratio = B's ratio
2/5 = Rs 4,000 / (x)
4. Cross-multiply:
2 * (x) = 5 * Rs 4,000
2x = Rs 20,000
5. Solve for x:
x = Rs 20,000 / 2
x = Rs 10,000
Therefore, B invested Rs 10,000.
But the given options do not include Rs 10,000, so we need to calculate the investment for the whole year.
Since A's investment was for 6 months, B's investment would be for the whole year.
B's investment for the whole year = 2 * B's investment for 6 months = 2 * Rs 10,000 = Rs 20,000.
Hence, the correct answer is option D) Rs 5,000.
Given:
Total profit = Rs 12,000
A's share = Rs 8,000
A's investment = Rs 20,000 for 6 months
Let's assume B's investment as x.
Steps to solve the problem:
1. Calculate the ratio of A's share to A's investment:
A's ratio = A's share / A's investment = Rs 8,000 / Rs 20,000 = 2/5
2. Calculate the ratio of B's share to B's investment:
B's ratio = (Total profit - A's share) / (B's investment) = (Rs 12,000 - Rs 8,000) / (x) = Rs 4,000 / (x)
3. Equate the ratios of A and B:
A's ratio = B's ratio
2/5 = Rs 4,000 / (x)
4. Cross-multiply:
2 * (x) = 5 * Rs 4,000
2x = Rs 20,000
5. Solve for x:
x = Rs 20,000 / 2
x = Rs 10,000
Therefore, B invested Rs 10,000.
But the given options do not include Rs 10,000, so we need to calculate the investment for the whole year.
Since A's investment was for 6 months, B's investment would be for the whole year.
B's investment for the whole year = 2 * B's investment for 6 months = 2 * Rs 10,000 = Rs 20,000.
Hence, the correct answer is option D) Rs 5,000.
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Out of a total profit of Rs 12,000, A received Rs 8000 as his share. If A invested Rs 20000 for 6 months while B invested his amount for the whole year, then find the amount that B invested.a)Rs 6,000b)Rs 7,000c)Rs 6,500d)Rs 5,000e)None of theseCorrect answer is option 'D'. Can you explain this answer?
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