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In the following pie-chart, the distribution of the number of cars in four major cities is given. In…

As a share of the total cars in the four cities, petrol cars in City C account for \(\frac{3}{8} \times 32\%\) \(= 12\%\) (or \(17,640\) cars), while petrol cars in City A…

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In the following pie-chart, the distribution of the number of cars in four major cities is given. In the adjoining table, the ratio of the number of diesel to the number of petrol cars in those cities is given. Based on this information, answer the question.

A14%B26%C32%D28%

CityRatio of diesel to petrol cars
A3 : 4
B6 : 7
C5 : 3
D3 : 11

Total number of cars in four cities = 1,47,000

By what percent is the number of petrol cars in city C greater than the number of petrol cars in city A?

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Answer and explanation

Correct answer D

As a share of the total cars in the four cities, petrol cars in City C account for 38×32%\frac{3}{8} \times 32\% =12%= 12\% (or 17,64017,640 cars), while petrol cars in City A account for 47×14%\frac{4}{7} \times 14\% =8%= 8\% (or 11,76011,760 cars). Therefore, the number of petrol cars in City C exceeds that in City A by 12−88×100%\frac{12 - 8}{8} \times 100\% =17,640−11,76011,760×100%= \frac{17,640 - 11,760}{11,760} \times 100\% =50%= 50\%.

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