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P and Q started a business by investing Rs. 80000 and Rs. 120000 respectively. After 4 months, they withdrew Rs. 40000 and Rs. 50000 respectively, while R invested Rs. 60000 in their business. If R received profit of Rs. 18000 at the end of the year, how much total profit did the business earned?
- a)Rs. 81000
- b)Rs. 84000
- c)Rs. 90000
- d)Rs. 96000
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
P and Q started a business by investing Rs. 80000 and Rs. 120000 respe...
As, P invested Rs. 80000 and withdrew Rs. 40000 after 4 months,
⇒ P’s total capital investment = (4 × 80000) + (8 × 40000) = 320000 + 320000 = Rs. 640000
Also, Q invested Rs. 120000 and withdrew Rs. 50000 after 4 months
⇒ Q’s total capital investment = (4 × 120000) + (8 × 70000) = 480000 + 560000 = Rs. 1040000
Now, R invested Rs. 60000 after 4 months
⇒ R’s total capital investment = 8 × 60000 = Rs. 480000
⇒ R’s total capital investment = 8 × 60000 = Rs. 480000
Now,
⇒ Ratio of their profits = Ratio of their investments
⇒ Ratio of their profits = Ratio of their investments
⇒ Ratio of their profits = 640000 ∶ 1040000 ∶ 480000 = 8 ∶ 13 ∶ 6
⇒ Sum of ratios = 8 + 13 + 6 = 27
⇒ Sum of ratios = 8 + 13 + 6 = 27
Now,
⇒ R’s share in profit = (6/27) of Total profit
⇒ 18000 = (6/27) × Total profit
⇒ Total profit = (27/6) × 18000 = Rs. 81000
⇒ R’s share in profit = (6/27) of Total profit
⇒ 18000 = (6/27) × Total profit
⇒ Total profit = (27/6) × 18000 = Rs. 81000
∴ Total profit earned by the business is Rs. 81000
Most Upvoted Answer
P and Q started a business by investing Rs. 80000 and Rs. 120000 respe...
As, P invested Rs. 80000 and withdrew Rs. 40000 after 4 months,
⇒ P’s total capital investment = (4 × 80000) + (8 × 40000) = 320000 + 320000 = Rs. 640000
Also, Q invested Rs. 120000 and withdrew Rs. 50000 after 4 months
⇒ Q’s total capital investment = (4 × 120000) + (8 × 70000) = 480000 + 560000 = Rs. 1040000
Now, R invested Rs. 60000 after 4 months
⇒ R’s total capital investment = 8 × 60000 = Rs. 480000
⇒ R’s total capital investment = 8 × 60000 = Rs. 480000
Now,
⇒ Ratio of their profits = Ratio of their investments
⇒ Ratio of their profits = Ratio of their investments
⇒ Ratio of their profits = 640000 ∶ 1040000 ∶ 480000 = 8 ∶ 13 ∶ 6
⇒ Sum of ratios = 8 + 13 + 6 = 27
⇒ Sum of ratios = 8 + 13 + 6 = 27
Now,
⇒ R’s share in profit = (6/27) of Total profit
⇒ 18000 = (6/27) × Total profit
⇒ Total profit = (27/6) × 18000 = Rs. 81000
⇒ R’s share in profit = (6/27) of Total profit
⇒ 18000 = (6/27) × Total profit
⇒ Total profit = (27/6) × 18000 = Rs. 81000
∴ Total profit earned by the business is Rs. 81000
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Community Answer
P and Q started a business by investing Rs. 80000 and Rs. 120000 respe...
Given:
P's investment = Rs. 80000
Q's investment = Rs. 120000
R's investment = Rs. 60000
P withdrew = Rs. 40000 after 4 months
Q withdrew = Rs. 50000 after 4 months
R received profit = Rs. 18000
To find: Total profit earned by the business
Calculation:
1. Calculate the ratio of their investments:
P's investment:Q's investment:R's investment
= 80000:120000:60000
= 2:3:1
2. Calculate the time for which each partner contributed:
P contributed for 12 months.
Q contributed for 12 months.
R contributed for 12 months.
3. Calculate the profit share of each partner:
P's share = (P's investment * P's time)/Total time
= (80000 * 12) / 36
= 80000 / 3
= Rs. 26666.67
Q's share = (Q's investment * Q's time)/Total time
= (120000 * 12) / 36
= 120000 / 3
= Rs. 40000
R's share = (R's investment * R's time)/Total time
= (60000 * 12) / 36
= 60000 / 3
= Rs. 20000
4. Calculate the total profit earned by the business:
Total profit = P's share + Q's share + R's share
= 26666.67 + 40000 + 20000
= Rs. 86666.67
Therefore, the total profit earned by the business is Rs. 86666.67.
But according to the given options, the correct answer is Rs. 81000 (Option A). There seems to be an error in the options provided.
P's investment = Rs. 80000
Q's investment = Rs. 120000
R's investment = Rs. 60000
P withdrew = Rs. 40000 after 4 months
Q withdrew = Rs. 50000 after 4 months
R received profit = Rs. 18000
To find: Total profit earned by the business
Calculation:
1. Calculate the ratio of their investments:
P's investment:Q's investment:R's investment
= 80000:120000:60000
= 2:3:1
2. Calculate the time for which each partner contributed:
P contributed for 12 months.
Q contributed for 12 months.
R contributed for 12 months.
3. Calculate the profit share of each partner:
P's share = (P's investment * P's time)/Total time
= (80000 * 12) / 36
= 80000 / 3
= Rs. 26666.67
Q's share = (Q's investment * Q's time)/Total time
= (120000 * 12) / 36
= 120000 / 3
= Rs. 40000
R's share = (R's investment * R's time)/Total time
= (60000 * 12) / 36
= 60000 / 3
= Rs. 20000
4. Calculate the total profit earned by the business:
Total profit = P's share + Q's share + R's share
= 26666.67 + 40000 + 20000
= Rs. 86666.67
Therefore, the total profit earned by the business is Rs. 86666.67.
But according to the given options, the correct answer is Rs. 81000 (Option A). There seems to be an error in the options provided.
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P and Q started a business by investing Rs. 80000 and Rs. 120000 respectively. After 4 months, they withdrew Rs. 40000 and Rs. 50000 respectively, while R invested Rs. 60000 in their business. If R received profit of Rs. 18000 at the end of the year, how much total profit did the business earned?a)Rs. 81000b)Rs. 84000c)Rs. 90000d)Rs. 96000Correct answer is option 'A'. Can you explain this answer?
Question Description
P and Q started a business by investing Rs. 80000 and Rs. 120000 respectively. After 4 months, they withdrew Rs. 40000 and Rs. 50000 respectively, while R invested Rs. 60000 in their business. If R received profit of Rs. 18000 at the end of the year, how much total profit did the business earned?a)Rs. 81000b)Rs. 84000c)Rs. 90000d)Rs. 96000Correct answer is option 'A'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about P and Q started a business by investing Rs. 80000 and Rs. 120000 respectively. After 4 months, they withdrew Rs. 40000 and Rs. 50000 respectively, while R invested Rs. 60000 in their business. If R received profit of Rs. 18000 at the end of the year, how much total profit did the business earned?a)Rs. 81000b)Rs. 84000c)Rs. 90000d)Rs. 96000Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P and Q started a business by investing Rs. 80000 and Rs. 120000 respectively. After 4 months, they withdrew Rs. 40000 and Rs. 50000 respectively, while R invested Rs. 60000 in their business. If R received profit of Rs. 18000 at the end of the year, how much total profit did the business earned?a)Rs. 81000b)Rs. 84000c)Rs. 90000d)Rs. 96000Correct answer is option 'A'. Can you explain this answer?.
P and Q started a business by investing Rs. 80000 and Rs. 120000 respectively. After 4 months, they withdrew Rs. 40000 and Rs. 50000 respectively, while R invested Rs. 60000 in their business. If R received profit of Rs. 18000 at the end of the year, how much total profit did the business earned?a)Rs. 81000b)Rs. 84000c)Rs. 90000d)Rs. 96000Correct answer is option 'A'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about P and Q started a business by investing Rs. 80000 and Rs. 120000 respectively. After 4 months, they withdrew Rs. 40000 and Rs. 50000 respectively, while R invested Rs. 60000 in their business. If R received profit of Rs. 18000 at the end of the year, how much total profit did the business earned?a)Rs. 81000b)Rs. 84000c)Rs. 90000d)Rs. 96000Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P and Q started a business by investing Rs. 80000 and Rs. 120000 respectively. After 4 months, they withdrew Rs. 40000 and Rs. 50000 respectively, while R invested Rs. 60000 in their business. If R received profit of Rs. 18000 at the end of the year, how much total profit did the business earned?a)Rs. 81000b)Rs. 84000c)Rs. 90000d)Rs. 96000Correct answer is option 'A'. Can you explain this answer?.
Solutions for P and Q started a business by investing Rs. 80000 and Rs. 120000 respectively. After 4 months, they withdrew Rs. 40000 and Rs. 50000 respectively, while R invested Rs. 60000 in their business. If R received profit of Rs. 18000 at the end of the year, how much total profit did the business earned?a)Rs. 81000b)Rs. 84000c)Rs. 90000d)Rs. 96000Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC.
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P and Q started a business by investing Rs. 80000 and Rs. 120000 respectively. After 4 months, they withdrew Rs. 40000 and Rs. 50000 respectively, while R invested Rs. 60000 in their business. If R received profit of Rs. 18000 at the end of the year, how much total profit did the business earned?a)Rs. 81000b)Rs. 84000c)Rs. 90000d)Rs. 96000Correct answer is option 'A'. Can you explain this answer?, a detailed solution for P and Q started a business by investing Rs. 80000 and Rs. 120000 respectively. After 4 months, they withdrew Rs. 40000 and Rs. 50000 respectively, while R invested Rs. 60000 in their business. If R received profit of Rs. 18000 at the end of the year, how much total profit did the business earned?a)Rs. 81000b)Rs. 84000c)Rs. 90000d)Rs. 96000Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of P and Q started a business by investing Rs. 80000 and Rs. 120000 respectively. After 4 months, they withdrew Rs. 40000 and Rs. 50000 respectively, while R invested Rs. 60000 in their business. If R received profit of Rs. 18000 at the end of the year, how much total profit did the business earned?a)Rs. 81000b)Rs. 84000c)Rs. 90000d)Rs. 96000Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice P and Q started a business by investing Rs. 80000 and Rs. 120000 respectively. After 4 months, they withdrew Rs. 40000 and Rs. 50000 respectively, while R invested Rs. 60000 in their business. If R received profit of Rs. 18000 at the end of the year, how much total profit did the business earned?a)Rs. 81000b)Rs. 84000c)Rs. 90000d)Rs. 96000Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice SSC tests.
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