Rita invested 25% more than Sunil.
Sunil invested 30% less than
Abhinav, who invested Rs. 6000.
What is the ratio of the amount that
Rita invested to the total amount
invested by all of them together ?

Let's break down the problem step by step.

1. **Abhinav's investment:**  
   Abhinav invested Rs. 6000.

2. **Sunil's investment:**  
   Sunil invested 30% less than Abhinav.  
   Sunil's investment = \( 6000 \times (1 - 0.30) = 6000 \times 0.70 = 4200 \, \text{Rs.} \)

3. **Rita's investment:**  
   Rita invested 25% more than Sunil.  
   Rita's investment = \( 4200 \times (1 + 0.25) = 4200 \times 1.25 = 5250 \, \text{Rs.} \)

4. **Total investment by all of them together:**
   \[
   \text{Total investment} = 6000 (\text{Abhinav}) + 4200 (\text{Sunil}) + 5250 (\text{Rita}) = 15450 \, \text{Rs.}
   \]

5. **Ratio of Rita's investment to the total investment:**
   \[
   \text{Ratio} = \frac{5250}{15450} = \frac{5250 \div 525}{15450 \div 525} = \frac{10}{29}
   \]

So, the ratio of Rita's investment to the total investment is **10:29**.

Would you like more details or explanations on any part?  
Here are 5 related questions to consider:

1. What would be the ratio if Rita had invested 50% more than Sunil?
2. How much more did Rita invest compared to Abhinav?
3. If Sunil had invested 20% more than Abhinav, what would Rita's new investment be?
4. How does the total investment change if Abhinav invested Rs. 7000 instead of Rs. 6000?
5. What is the percentage of the total investment that Rita contributed?

**Tip:** When working with percentage increases or decreases, always apply the percentage to the original amount to avoid errors.

Rita invested 25% more than Sunil. Sunil invested 30% less than Abhinav, who invested Rs. 6000. What is the ratio of the amount that Rita invested to the total amount invested by all of them together?

Explore how to calculate the ratio of Rita's investment to the total investment, involving percentage increases and decreases. The problem explains key concepts such as calculating investments based on percentage changes and finding ratios. Suitable for students in Grades 6-8.

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