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Question 11 A factory requires 42 machines to produce a given number of toys in 63 days. How many machines are required to produce the same number of toys in 54 days?Given that, 42 machines produces toys in 63 days We need to find how many machines are required to produce same number of toys in 54 days Let Number of Machines be x Now, we draw a table Now, as Total number of toys is same As Number of machines increase Time taken to make toys would decrease So, they are in Inverse Proportion So, we write numbers as ๐’™_๐Ÿ ๐’š_๐Ÿ = ๐’™_๐Ÿ ๐’š_๐Ÿ 42 ร— 63 = ๐‘ฅ ร— 54 (๐Ÿ’๐Ÿ ร— ๐Ÿ”๐Ÿ‘)/๐Ÿ“๐Ÿ’=๐’™ (7 ร— 63)/9=๐‘ฅ 7 ร— 7 =๐‘ฅ 49 =๐‘ฅ ๐’™ = 49 So, it will take 49 machines

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CA Maninder Singh

CA Maninder Singh is a Chartered Accountant for the past 16 years. He also provides Accounts Tax GST Training in Delhi, Kerala and online.