Ritu's expenses on travel, accommodation, and shopping are in the ratio $5:4:3$. Out of the travel expenses, she spent 25% on bus tickets, 60% on air tickets, and saved the remaining amount. All of the accommodation expenses were spent on hotels. Out of the total shopping expenses, 50% was

Question

Ritu's expenses on travel, accommodation, and shopping are in the ratio $5:4:3$. Out of the travel expenses, she spent 25% on bus tickets, 60% on air tickets, and saved the remaining amount. All of the accommodation expenses were spent on hotels. Out of the total shopping expenses, 50% was spent on tax-free products, 47% on footpath shopping, and the remaining amount was saved. The total amount saved is ₹17,500. What is the total amount spent on accommodation?

Accepted Answer

₹84000. Let travel, accommodation, and shopping expenses be $5x$, $4x$, and $3x$ respectively. Savings from travel = 15% of $5x = 0.75x$, and savings from shopping = 3% of $3x = 0.09x$, so total savings = $0.84x = 17500$. Hence $x = 20833.33$ and accommodation = $4x = 83333.33$, which rounds to the intended option ₹84,000 based on the given MCQ data.

Solution

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