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Question

In a parking lot, the number of cars and bikes are in the ratio 7:11. There are 56 more bikes parked than the number of cars. What is the number of cars parked in the parking lot?

एक पार्किंग स्थल पर, कारें और मोटरसाइकिलें 7:11 के अनुपात में हैं। कारों की तुलना में 56 और ज्यादा मोटरसाइकिलें पार्क की गयी है। पार्किंग स्थल में पार्क की गयीं कारों की संख्या क्या है?

A
91
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B
98
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C
147
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D
154
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Solution

The correct option is D 154
The cars and bikes are in the ratio 7 : 11. Let the number of cars and bikes be 7X and 11X respectively.
It is known that there are 56 more bikes than the number of cars.
Accordingly we get,
Or 7X + 56 = 11X
Or 4X = 56
Or X = 14
Number of cars parked = 7X = 7 × 14 = 98
Number of bikes parked = 11X = 11 × 14 = 154
Hence, option (b) is the correct answer.

कारों और मोटरसाइकिलों का अनुपात 7 : 11 है। माना कि कारों और मोटरसाइकिलों की संख्या 7X और 11X है।
कारों की संख्या की तुलना में मोटरसाइकिलों की संख्या 56 अधिक है।
या 7X + 56 = 11X
या 4X = 56
या X = 14
पार्क की गयी कारों की संख्या = 7X = 7 × 14 = 98
पार्क की गयी मोटरसाइकिलों की संख्या = 11X = 11 × 14 = 154

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