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Let's solve the first question.

We are given that Q saves **62.5%** (which is equivalent to \( \frac{5}{8} \)) of his total monthly income. The savings ratios between P, Q, and R are given as **6:7:4**. This means that if Q saves 7 parts of the total ratio, R saves 4 parts.

Let \( I_Q \) and \( I_R \) be the monthly incomes of Q and R, respectively. We need to determine how much percent R saves from his monthly income.

### Step-by-step solution:

1. **Savings Ratio**: The savings ratios of P, Q, and R are in the ratio **6:7:4**. For Q:
   \[
   \text{Q saves} = 62.5\% \, \text{of his income} \quad \text{or} \quad \frac{5}{8} \, \text{of his income}.
   \]
   This saving corresponds to the "7 parts" in the ratio.

2. **R’s Savings**: If Q saves 7 parts, R saves 4 parts. So, the percentage savings of R can be calculated using the ratio comparison. If Q saves \( \frac{5}{8} \) or **62.5%**, we can set up a proportion:
   \[
   \frac{R's \, savings}{Q's \, savings} = \frac{4}{7}.
   \]

   Let the percentage of R's savings be \( x \), then:
   \[
   \frac{x}{62.5} = \frac{4}{7}
   \]

   Solving for \( x \):
   \[
   x = 62.5 \times \frac{4}{7} = \frac{250}{7} = 35.71\%.
   \]

3. **Conclusion**: R saves 35.71% of his total monthly income. Since we need to match this with the given options, none of the exact options seem to align with 35.71%. So, we may have misinterpreted the exact nature of the ratio or should select the option **(e) Cannot be determined** based on the specific values.

Would you like more details on the next question or further clarifications?

If Q saves 62 1/2 % of his total monthly income, then how much percent does R save out of his monthly income?

Solve the problem of calculating how much R saves out of his monthly income given that Q saves 62.5% of his income. This problem involves percentage calculations, ratio proportions, and savings comparisons. Ideal for students in Grade 10-12.

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