Question : On a shelf, books with white covers and those with orange covers are in the ratio 12 : 21. If there are 945 books with orange covers, then the number of books with white covers is:
Option 1: 645
Option 2: 540
Option 3: 1485
Option 4: 840
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Correct Answer: 540
Solution :
Since the ratio of white covers and orange covers is 12 : 21.
⇒ $\frac{\text{Number of books with white covers}}{\text{Number of books with orange covers}} = \frac{12}{21}$
⇒ $\frac{\text{Number of books with white covers}}{945} = \frac{12}{21}$
⇒ Number of books with white covers = $\frac{12}{21}$ × 945 = 540
Hence, the correct answer is 540.
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