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In a province, the cities are divided into 3 categories, A, B and C. The ratio of number of cities of type A and B is 6 : 11, while that of cities of type B and C is 3 : 43. If the number of cities of type A is 918, then what is the total number of cities in province?

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In a province, the cities are divided into 3 categories, A, B and C. The ratio of number of cities of type A and B is 6 : 11, while that of cities of type B and C is 3 : 43. If the number of cities of type A is 918, then what is the total number of cities in province?


1). 21712
2). 23400
3). 26724
4). 28956


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Answered by on | Votes 2 |

The ratio of number of cities of type A and B is 6 : 11, while that of cities of type B and C is 3 : 43.

LCM of 11 and 3 is 33.

Combined ratio of cities of type A, B and C will be 18 : 33 : 473.

Let number of cities of type A, B and C be 18T, 33T and 473T, respectively.

So, 18T = 918

⇒ T = 51

∴ Total number of cities = 18T + 33T + 473T = 524 × 51 = 26724

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