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Nanda started a business investing Rs. 60000. After 3 months Surekha joined her with Rs. 80000. If the profit at the end of the year is Rs. 3780.50. then what is the difference in their shares
  • a)
    Rs. 540                                 
  • b)
    Rs. 270
  • c)
    Rs. 1620                               
  • d)
    Cannot be determined                        
  • e)
    None of these
Correct answer is option 'E'. Can you explain this answer?
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Most Upvoted Answer
Nanda started a business investing Rs. 60000. After 3 months Surekha j...
Given:
- Nanda invested Rs. 60000
- Surekha joined after 3 months with Rs. 80000
- Profit at the end of the year is Rs. 3780.50

To find: Difference in their shares

Let's calculate the profit sharing ratio based on the given information.

Nanda invested for 12 months, while Surekha invested for 9 months (after 3 months). Therefore, their investment ratio will be:

Nanda : Surekha
= 60000 x 12 : 80000 x 9
= 720000 : 720000
= 1 : 1

Their profit sharing ratio will also be 1:1 since their investment ratio is equal.

So, the difference in their shares will be zero. Hence, option E - None of these is the correct answer.

Explanation:
- Investment of Nanda = Rs. 60000 for 12 months
- Investment of Surekha = Rs. 80000 for 9 months (after 3 months)
- Total investment = Rs. (60000 x 12 + 80000 x 9) = Rs. 1440000
- Profit = Rs. 3780.50
- Profit sharing ratio = Investment ratio = 1:1
- Share of Nanda = 1/2 x 3780.50 = Rs. 1890.25
- Share of Surekha = 1/2 x 3780.50 = Rs. 1890.25
- Difference in their shares = Rs. (1890.25 - 1890.25) = Rs. 0

Therefore, the correct answer is option E - None of these.
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Community Answer
Nanda started a business investing Rs. 60000. After 3 months Surekha j...
Total amount invested by Nanda=60000*12
=720000
Total amount invested by Surekha=80000*9
=720000
hence both invested same amount hence both will get equal profit.
Hence D is the correct option
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Nanda started a business investing Rs. 60000. After 3 months Surekha joined her with Rs. 80000. If the profit at the end of the year is Rs. 3780.50. then what is the difference in their sharesa)Rs. 540b)Rs. 270c)Rs. 1620d)Cannot be determined e)None of theseCorrect answer is option 'E'. Can you explain this answer?
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