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Two friends invested Rs.1500 and Rs. 2500 in a business. They earned a profit of Rs. 800. One-half of the profit was divided equally between them and the other half was divided in proportion to their capitals. How much did each of them receive ?
- a)Rs. 350 and Rs. 450
- b)Rs. 360 and Rs. 440
- c)Rs. 370 and Rs. 430
- d)Rs. 375 and Rs. 425
Correct answer is option 'A'. Can you explain this answer?
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Two friends invested Rs.1500 and Rs. 2500 in a business. They earned a...
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Two friends invested Rs.1500 and Rs. 2500 in a business. They earned a...
Given:
Investments: Rs. 1500 and Rs. 2500
Profit: Rs. 800
Let's calculate the profit distribution step by step.
1. Divide half of the profit equally between the two friends:
The total profit is Rs. 800, so half of it is Rs. 400. This amount is divided equally between the two friends, so each friend receives Rs. 400/2 = Rs. 200.
2. Divide the remaining half of the profit in proportion to their capitals:
The remaining half of the profit is also Rs. 400. To divide it in proportion to their capitals, we need to calculate the ratio of their investments.
The ratio of their investments is:
Rs. 1500 : Rs. 2500
Dividing both amounts by 1000 to simplify the ratio:
1.5 : 2.5
To find the amount received by the first friend:
Rs. 400 * (1.5 / (1.5 + 2.5))
= Rs. 400 * (1.5/4)
= Rs. 150
To find the amount received by the second friend:
Rs. 400 * (2.5 / (1.5 + 2.5))
= Rs. 400 * (2.5/4)
= Rs. 250
Therefore, the first friend receives Rs. 150 (in addition to the equal share of Rs. 200) and the second friend receives Rs. 250 (in addition to the equal share of Rs. 200).
So, the total amount received by each friend is:
First friend: Rs. 150 + Rs. 200 = Rs. 350
Second friend: Rs. 250 + Rs. 200 = Rs. 450
Thus, the correct answer is option 'A': Rs. 350 and Rs. 450.
Investments: Rs. 1500 and Rs. 2500
Profit: Rs. 800
Let's calculate the profit distribution step by step.
1. Divide half of the profit equally between the two friends:
The total profit is Rs. 800, so half of it is Rs. 400. This amount is divided equally between the two friends, so each friend receives Rs. 400/2 = Rs. 200.
2. Divide the remaining half of the profit in proportion to their capitals:
The remaining half of the profit is also Rs. 400. To divide it in proportion to their capitals, we need to calculate the ratio of their investments.
The ratio of their investments is:
Rs. 1500 : Rs. 2500
Dividing both amounts by 1000 to simplify the ratio:
1.5 : 2.5
To find the amount received by the first friend:
Rs. 400 * (1.5 / (1.5 + 2.5))
= Rs. 400 * (1.5/4)
= Rs. 150
To find the amount received by the second friend:
Rs. 400 * (2.5 / (1.5 + 2.5))
= Rs. 400 * (2.5/4)
= Rs. 250
Therefore, the first friend receives Rs. 150 (in addition to the equal share of Rs. 200) and the second friend receives Rs. 250 (in addition to the equal share of Rs. 200).
So, the total amount received by each friend is:
First friend: Rs. 150 + Rs. 200 = Rs. 350
Second friend: Rs. 250 + Rs. 200 = Rs. 450
Thus, the correct answer is option 'A': Rs. 350 and Rs. 450.
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Two friends invested Rs.1500 and Rs. 2500 in a business. They earned a profit of Rs. 800. One-half of the profit was divided equally between them and the other half was divided in proportion to their capitals. How much did each of them receive ?a)Rs. 350 and Rs. 450b)Rs. 360 and Rs. 440c)Rs. 370 and Rs. 430d)Rs. 375 and Rs. 425Correct answer is option 'A'. Can you explain this answer?
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Two friends invested Rs.1500 and Rs. 2500 in a business. They earned a profit of Rs. 800. One-half of the profit was divided equally between them and the other half was divided in proportion to their capitals. How much did each of them receive ?a)Rs. 350 and Rs. 450b)Rs. 360 and Rs. 440c)Rs. 370 and Rs. 430d)Rs. 375 and Rs. 425Correct answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Two friends invested Rs.1500 and Rs. 2500 in a business. They earned a profit of Rs. 800. One-half of the profit was divided equally between them and the other half was divided in proportion to their capitals. How much did each of them receive ?a)Rs. 350 and Rs. 450b)Rs. 360 and Rs. 440c)Rs. 370 and Rs. 430d)Rs. 375 and Rs. 425Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two friends invested Rs.1500 and Rs. 2500 in a business. They earned a profit of Rs. 800. One-half of the profit was divided equally between them and the other half was divided in proportion to their capitals. How much did each of them receive ?a)Rs. 350 and Rs. 450b)Rs. 360 and Rs. 440c)Rs. 370 and Rs. 430d)Rs. 375 and Rs. 425Correct answer is option 'A'. Can you explain this answer?.
Two friends invested Rs.1500 and Rs. 2500 in a business. They earned a profit of Rs. 800. One-half of the profit was divided equally between them and the other half was divided in proportion to their capitals. How much did each of them receive ?a)Rs. 350 and Rs. 450b)Rs. 360 and Rs. 440c)Rs. 370 and Rs. 430d)Rs. 375 and Rs. 425Correct answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Two friends invested Rs.1500 and Rs. 2500 in a business. They earned a profit of Rs. 800. One-half of the profit was divided equally between them and the other half was divided in proportion to their capitals. How much did each of them receive ?a)Rs. 350 and Rs. 450b)Rs. 360 and Rs. 440c)Rs. 370 and Rs. 430d)Rs. 375 and Rs. 425Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two friends invested Rs.1500 and Rs. 2500 in a business. They earned a profit of Rs. 800. One-half of the profit was divided equally between them and the other half was divided in proportion to their capitals. How much did each of them receive ?a)Rs. 350 and Rs. 450b)Rs. 360 and Rs. 440c)Rs. 370 and Rs. 430d)Rs. 375 and Rs. 425Correct answer is option 'A'. Can you explain this answer?.
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Two friends invested Rs.1500 and Rs. 2500 in a business. They earned a profit of Rs. 800. One-half of the profit was divided equally between them and the other half was divided in proportion to their capitals. How much did each of them receive ?a)Rs. 350 and Rs. 450b)Rs. 360 and Rs. 440c)Rs. 370 and Rs. 430d)Rs. 375 and Rs. 425Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Two friends invested Rs.1500 and Rs. 2500 in a business. They earned a profit of Rs. 800. One-half of the profit was divided equally between them and the other half was divided in proportion to their capitals. How much did each of them receive ?a)Rs. 350 and Rs. 450b)Rs. 360 and Rs. 440c)Rs. 370 and Rs. 430d)Rs. 375 and Rs. 425Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Two friends invested Rs.1500 and Rs. 2500 in a business. They earned a profit of Rs. 800. One-half of the profit was divided equally between them and the other half was divided in proportion to their capitals. How much did each of them receive ?a)Rs. 350 and Rs. 450b)Rs. 360 and Rs. 440c)Rs. 370 and Rs. 430d)Rs. 375 and Rs. 425Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Two friends invested Rs.1500 and Rs. 2500 in a business. They earned a profit of Rs. 800. One-half of the profit was divided equally between them and the other half was divided in proportion to their capitals. How much did each of them receive ?a)Rs. 350 and Rs. 450b)Rs. 360 and Rs. 440c)Rs. 370 and Rs. 430d)Rs. 375 and Rs. 425Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Quant tests.
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