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Pushpanjali

· started a discussion

· 1 Months ago

Is it not wrong answer as per solution derived ? (Question:921922.0)

As per solution , answer should be 16,000 not 18,000

Question:

P and Q enter in to a partnership with P investing Rs. 20,000 and Q investing a certain amount. At the end of first 4 months P withdraws Rs. 4000, and Rs. 6000 at the end of another 5 months. Q remains in the business till the end with the initial investment and receives Rs. 19200 as profit at the end of the year. The total profit at the end of the year is Rs. 38,200. Find the investment of Q.

Options:
A)

Rs. 8000

B)

Rs. 12000

C)

Rs.16000

D)

Rs. 18000

E)

None of these

Solution:

 

Ans: (d)

Given the total profit at the end of the year is 38200

Profit received by Q at the end of the year = Rs. 19200

Profit amount received by P at the end of the year = Rs. (38200 - 19200)

⇒ Rs.1 9000

Ratio of their profits (P : Q) = 19000 : 19200

⇒ 190 : 192

⇒ 95:96

P’s investment = (Rs. 20000 for 4 months) + (20000 - 4000) for 5 months + (20000 - 4000 - 6000) for 3 months

⇒ (20000 × 4) + (16000 × 5) + (10000 × 3)

⇒ 80000 + 80000 + 30000

⇒ Rs.190000

Let Q’s investment = ‘X’

Both P and Q invested the amount for a year, so the ratio of their profits will be equal to the ratio of the investments

⇒ 95 : 96 = 190000 : X

⇒ X = (190000 × 96)/95 

⇒ X = 2000 × 96

⇒ X = Rs. 192000 

Q’s Investment = Rs. 192000

If this was Q’s investment over the months, he might have invested 192000/12 = Rs. 16000 

∴ B’s investment = Rs. 16000

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