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Study the following data carefully and answer the given questions:
Three persons P, Q and R invested in a business in such a way that, P started the business and Q and R joined the business later.
P started a business by investing (x + 6000) rupees. After 4 months, P withdrew Rs. 3000 from the business and Q joined the business by investing (x – 2000) rupees. After 4 more months, Q invested Rs. 10000 more. R invested ‘x’ rupees in the business for ‘t’ months. After 1 year from the starting of the business, P’s profit share is 60% more than that of Q, which is 25% more than that of R.
Q. Find the average of initial investments of P, Q and R?
  • a)
    Rs. 13333.33
  • b)
    Rs. 12333.33
  • c)
    Rs. 15333.33
  • d)
    Rs. 10333.33
  • e)
    Rs. 11333.33
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Study the following data carefully and answer the given questions:Thr...
After 1 years, ratio between profit shares of P, Q and R respectively
[{(x + 6000) * 4 + (x + 6000 – 3000) * 8}]: [{(x – 2000) * 4 + (x – 2000 + 10000) * 4}]: [x * t]
[4x + 24000 + 8x + 24000]: [4x – 8000 + 4x + 32000]: [x * t]
[12x + 48000]: [8x + 24000]: [x * t]
Since, P’s profit share is 60% more than that of Q.
So,
12x + 48000 = (8x + 24000) * (160/100)
60x + 240000 = 64x + 192000
x = 12000
Since, Q’s profit share is 25% more than that of R.
So,
8x + 24000 = (x * t) * (125/100)
120000 = 12000t * (5/4)
t = 8
Initial investment of P = 12000 + 6000 = Rs. 18000
Initial investment of Q = 12000 – 2000 = Rs. 10000
Initial investment of R = Rs. 12000
Required average = (18000 + 10000 + 12000)/3 = Rs. 13333.33
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