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      Question

      Number of soaps purchased by Sumit is 70% less than the

      number of mugs and buckets together purchased by him. Find the number of soaps purchased by Sumit. Answer the following questions based on the information given below: Sumit and Sahil purchased certain number of buckets and mugs. Sumit and Sahil purchased each bucket for Rs.220 and Rs.360 respectively and each mug for Rs.100 and Rs.150 respectively. Number of buckets purchased by Sumit is 145% of that by Sahil. Number of mugs purchased by Sahil is 20% less than that by Sumit and 40% of number of buckets purchased by him. Sumit purchased buckets for a total of Rs.63800.
      A 121 Correct Answer Incorrect Answer
      B 134 Correct Answer Incorrect Answer
      C 108 Correct Answer Incorrect Answer
      D 100 Correct Answer Incorrect Answer
      E 117 Correct Answer Incorrect Answer

      Solution

      Let the number of buckets purchased by Sahil be x. And the number of buckets purchased by Sumit = 1.45x Number of mugs purchased by Sahil = 0.4x Number of mugs purchased by Sumit = 0.4x/0.8 = 0.5x According to question, => 1.45x × 220 = 63800 => x = 200 Number of buckets purchased by Sumit = 290 Number of buckets purchased by Sahil = 200 Number of mugs purchased by Sumit = 100 Number of mugs purchased by Sahil = 80 Number of mugs and buckets together purchased by Sumit = 290 + 100 = 390 Number of soaps purchased by Sumit = 30% of 390 = 117

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