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

Out of the total 1,47,000 cars, City D has 28% of the cars, or \(0.28 \times 1,47,000\) \(= 41,160\) cars. With a diesel-to-petrol ratio of \(3 : 11\), the number of diesel…

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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

What is the difference of the number of diesel cars in city D and the number of petrol cars in city B?

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Answer and explanation

Correct answer A

Out of the total 1,47,000 cars, City D has 28% of the cars, or 0.28×1,47,0000.28 \times 1,47,000 =41,160= 41,160 cars. With a diesel-to-petrol ratio of 3:113 : 11, the number of diesel cars in City D is 314×41,160\frac{3}{14} \times 41,160 =8,820= 8,820. City B has 26% of the cars, or 0.26×1,47,0000.26 \times 1,47,000 =38,220= 38,220 cars, and with a diesel-to-petrol ratio of 6:76 : 7, the number of petrol cars in City B is 713×38,220\frac{7}{13} \times 38,220 =20,580= 20,580. The required difference is 20,580−8,820=11,76020,580 - 8,820 = 11,760.

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