Question Details

Clara and Daniel started a commercial venture with investments in the ratio of 5 : 8 respectively. Four months later, Evan joined the business with an investment equal to twice the capital of Clara. At the end of one year, the total profit generated by the venture was Rs. 118000. What is the combined profit share of Daniel and Evan (in Rs.)?

Options

A

84000

B

78000

C

68000

D

88000

E

94000

Show Answer

Correct Answer :

Option D

88000

64000

Solution :

The correct answer is 88000.

Step 1: Define the initial investments.
Let the initial investment of Clara be 5x and the initial investment of Daniel be 8x.

Evan joined the business 4 months later with an investment equal to twice the capital of Clara.
Investment of Evan = 2×5x=10x.

Step 2: Determine the investment duration for each partner over a 1-year (12-month) period.
Duration for Clara = 12 months
Duration for Daniel = 12 months
Duration for Evan = 12-4=8 months

Step 3: Calculate the ratio of profit share.
The profit share is proportional to the product of investment amount and investment duration:

Clara:Daniel:Evan=(5x×12):(8x×12):(10x×8)

Ratio=60x:96x:80x

Dividing each term by 4x gives the simplified ratio:

Ratio=15:24:20

Step 4: Determine the profit per ratio unit.
Total ratio parts = 15+24+20=59 parts.
Total profit generated = Rs. 118000.

Value of 1 ratio part = 11800059=2000

Step 5: Calculate the combined profit share of Daniel and Evan.
Combined ratio parts for Daniel and Evan = 24+20=44 parts.

Combined profit share = 44×2000=88000

Therefore, the combined profit share of Daniel and Evan is Rs. 88000.

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