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.)?
Correct Answer :
88000
Solution :
The correct answer is 88000.
Step 1: Define the initial investments.
Let the initial investment of Clara be and the initial investment of Daniel be .
Evan joined the business 4 months later with an investment equal to twice the capital of Clara.
Investment of Evan = .
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 = months
Step 3: Calculate the ratio of profit share.
The profit share is proportional to the product of investment amount and investment duration:
Dividing each term by gives the simplified ratio:
Step 4: Determine the profit per ratio unit.
Total ratio parts = parts.
Total profit generated = Rs. 118000.
Value of 1 ratio part =
Step 5: Calculate the combined profit share of Daniel and Evan.
Combined ratio parts for Daniel and Evan = parts.
Combined profit share =
Therefore, the combined profit share of Daniel and Evan is Rs. 88000.
Access expert-curated educational resources and study materials—completely free.
Create, conduct, and manage professional online assessments with Mindyard. Perfect for teachers and institutes.
Copyright © 2026 Mindyard. All Rights Reserved.