Ritu's total trip expenditure is divided into travel expenses, accommodation expenses, and shopping expenses in the ratio of 5 : 4 : 3 respectively. Out of the travel expenses, 25\% was spent on bus tickets, 60\% on air tickets, and the remaining travel expenses were saved. All accommodation expenses were spent on hotels. For shopping expenses, 50\% was spent on tax-free products, 47\frac{2}{9}\% on footpath shopping, and the rest was saved. The total amount saved from travel and shopping expenses combined is Rs. 17,500.

Based on this information, what is the total amount spent on accommodation expenses?

Question

Ritu's total trip expenditure is divided into travel expenses, accommodation expenses, and shopping expenses in the ratio of 5 : 4 : 3 respectively. Out of the travel expenses, 25\% was spent on bus tickets, 60\% on air tickets, and the remaining travel expenses were saved. All accommodation expenses were spent on hotels. For shopping expenses, 50\% was spent on tax-free products, 47\frac{2}{9}\% on footpath shopping, and the rest was saved. The total amount saved from travel and shopping expenses combined is Rs. 17,500.

Based on this information, what is the total amount spent on accommodation expenses?

Accepted Answer

**Solution:**

1. Let the total expenses be divided into travel, accommodation, and shopping in the ratio 5 : 4 : 3. Assume the parts as 5x, 4x, and 3x respectively.

2. Total parts = 5 + 4 + 3 = 12 parts.

3. Travel expenses = 5x, Accommodation expenses = 4x, Shopping expenses = 3x.

4. Savings from travel expenses:
   - 25\% spent on bus tickets
   - 60\% spent on air tickets
   - Remaining saved = 100\% - (25\% + 60\%) = 15\%

Savings from travel = 15\% of 5x = 0.15 \times 5x = 0.75x

5. Savings from shopping expenses:
   - 50\% spent on tax-free products
   - 47\frac{2}{9}\% spent on footpath shopping = \frac{425}{9}\% \approx 47.22\%
   - Remaining saved = 100\% - (50\% + 47.22\%) = 2.78\%

Savings from shopping = 2.78\% of 3x = 0.0278 \times 3x = 0.0834x

6. Total savings = savings from travel + savings from shopping = 0.75x + 0.0834x = 0.8334x

7. Given total savings = Rs. 17,500

So, 0.8334x = 17,500

$$ x = \frac{17,500}{0.8334} \approx 21,000 $$

8. Accommodation expenses = 4x = 4 \times 21,000 = Rs. 84,000

**Answer:** Rs. 84,000

Answer

Answer

Answer

Answer