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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 Sonargaon . By what percent is the charge of a room at Westin is greater than that of Sonargaon ?

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 Sonargaon . By what percent is the charge of a room at Westin is greater than that of Sonargaon ? Correct Answer 20%

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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