Question
The respective ratio of the number of shops to the
number of fans sold in a city was 7:190 in 2016. In 2017, the number of fans sold increased by 20% and 15 more shops opened in one year. If the respective ratio of the number of shops to the number of fans sold became 2:57 in 2017, then how many shops were present in the city in 2016?ÂSolution
ATQ,
Let number of shops and number of fans sold in 2016 be ‘7x’ and ‘190x’, respectively. Total number of fans sold in 2017 = 120% of 190x = (120/100) × 190x = 228x Number of shops in 2017 = 7x + 15 According to question, (228x)/ (7x + 15) = 57/2 8x = 7x + 15, x = 15 Total number of shops initially in 2016 = 7 × 15 = 105
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