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Question
Ratan buys a shirt every 3 months and a pair of jeans every 4 months. On 1st April 2022, he bought both a shirt and a pair of jeans together. Now he has 23 clothes in his wardrobe. How many clothes in total will he have two years from now?
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Solution
There are 12 months in a year, thus there will be 12 x 2 = 24 months in the next two years.
As Ratan buys shirts every 3 months, he will buy shirts in months which are in mulitples of 3, i.e. 3, 6, 9, 12, 15, 18, 21, 24.
Thus, he will buy 8 shirts in next 2 years, i.e. 24 months.
Similarly, he will buy jeans in months which are in multiples of 4, i.e. 4, 8, 12, 16, 20, 24.
Thus, he will buy 6 jeans in next 2 years, i.e. 24 months.
Hence, after two years he will have a total of 23 + 8 + 6 = 37 clothes.
As Ratan buys shirts every 3 months, he will buy shirts in months which are in mulitples of 3, i.e. 3, 6, 9, 12, 15, 18, 21, 24.
Thus, he will buy 8 shirts in next 2 years, i.e. 24 months.
Similarly, he will buy jeans in months which are in multiples of 4, i.e. 4, 8, 12, 16, 20, 24.
Thus, he will buy 6 jeans in next 2 years, i.e. 24 months.
Hence, after two years he will have a total of 23 + 8 + 6 = 37 clothes.
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