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1. The charge of a room at Sheraton is 25% less than that of a room at Westin and 10% less than that of a room at Sonargoan. By what percent is the charge of a room at Westin is greater than that of Sonargaon?
- A. 15%
- B. 15%
- C. 15%
- D. 15%
Answer: Option D
Explanation:
Let the charges at Sherato, Westin and Sonargaon be A, B & C respectively.
Now, A = B - 25% of B = B - 0.25B = 0.75B = 3B/4
or, B = 4A/3
Again, A = C - 10% of C = C - 0.1C = 0.9C = 9C/10
or, C = 10A/9
Now, B - C = 4A/3 - 10A/9 = (12A - 10A) / 9 = 2A/9
Charge at westin is greater than charge at Sonargaon by (2A/9) / (10A/9) × 100% = 20%
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