Math Problem Statement

Two men Aslam and Javed bought a truck RS 20,00,000. Javed invested 285000In first month they earn 175250. In the 2nd month they changed the engine of truck and bought a new engine in 4,30,000. The amount of enging was paid by Aslam. In the end of year they earn 1757715. What will be the share of both

Solution

To find the shares of Aslam and Javed in the total earnings, we must consider their investments and expenses.

Step 1: Understanding the Investments

  • Total cost of the truck = ₹20,00,000
  • Javed's investment = ₹2,85,000
  • Aslam’s initial investment = Since the truck was purchased together, Aslam’s share = ₹20,00,000 - ₹2,85,000 = ₹17,15,000
  • Aslam also paid for a new engine = ₹4,30,000

So, the total investment of each person:

  • Javed’s total investment = ₹2,85,000
  • Aslam’s total investment = ₹17,15,000 + ₹4,30,000 = ₹21,45,000

Step 2: Total Earnings

  • Total earnings at the end of the year = ₹17,57,715

Step 3: Ratio of Investments

We distribute the earnings according to their investment ratio.

Ratio=Javed’s InvestmentTotal Investment:Aslam’s InvestmentTotal Investment\text{Ratio} = \frac{\text{Javed’s Investment}}{\text{Total Investment}} : \frac{\text{Aslam’s Investment}}{\text{Total Investment}}

=2,85,00024,30,000:21,45,00024,30,000= \frac{2,85,000}{24,30,000} : \frac{21,45,000}{24,30,000}

=285:2145= 285 : 2145

Dividing by 15:

19:14319 : 143

Step 4: Distribution of Profit

Now, the earnings of ₹17,57,715 will be divided in this ratio.

  • Javed’s share
    =19162×17,57,715= \frac{19}{162} \times 17,57,715

=2,06,215= 2,06,215

  • Aslam’s share
    =143162×17,57,715= \frac{143}{162} \times 17,57,715

=15,51,500= 15,51,500

Final Answer

  • Javed’s share of profit = ₹2,06,215
  • Aslam’s share of profit = ₹15,51,500

Would you like further clarification or details on any step?


Related Questions

  1. How would the shares change if Aslam and Javed split the cost of the engine equally?
  2. If they continued the business for another year with equal investments, how would the profit be shared?
  3. How much should Javed invest to have an equal share in future profits?
  4. If they reinvested a portion of the earnings back into the business, how would that impact their shares?
  5. What if there were additional expenses like maintenance and fuel? How would that affect their profit distribution?

Tip:

Always calculate investment ratios before distributing profits to ensure fair division.

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Math Problem Analysis

Mathematical Concepts

Ratio and Proportion
Profit Distribution
Investment Analysis

Formulas

Investment Ratio = (Individual Investment) / (Total Investment)
Profit Share = (Individual Ratio) × (Total Profit)

Theorems

Basic Ratio Theorem
Proportional Distribution

Suitable Grade Level

Grades 9-12