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Table shows the percentage share of Maruti cars sold in six cities A to F and the P:Q:R model proportion. Total cars sold = 90000.

CityShare (%)P:Q:R
A14.307:7:4
B16.202:5:2
C18.403:3:4
D16.804:3:2
E12.602:2:1
F21.703:2:5

What is the number of Model-Q cars sold in all cities together?

A31255
B31355
C31455
D31555 ✓ Correct
Correct answer: (D) 31555
Explanation

The number of Model-Q cars is 31555, so the answer is 31555.

For each city, take its share of 90000 and then the Q part of its model ratio.

City A gives 90000 times 14.3 percent times 7 of 18, which is 5005.

City B gives 8100, City C gives 4968 and City D gives 5040.

City E gives 4536 and City F gives 3906.

Adding these gives 5005 plus 8100 plus 4968 plus 5040 plus 4536 plus 3906.

That equals 31555.

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