CAT 2018 Question Paper | Quants Slot 1

CAT Previous Year Paper | CAT Ratio and Proportion Questions | Question 26

This is a wonderful question from Ratio and Proportion that appeared in CAT 2018 Question Paper. This a question that incorporates percentages in it. These type of questions from Arithmetic are given the utmost importance in the CAT Exam. By mastering the basics of Ratio and Proportion in CAT Preparation Online, one can ace Ratio proportion questions when faced in the CAT Exam

Question 26 :Raju and Lalitha originally had marbles in the ratio 4 : 9. Then Lalitha gave some of her marbles to Raju. As a result, the ratio of the number of marbles with Raju to that with Lalitha became 5 : 6. What fraction of her original number of marbles was given by Lalitha to Raju?

  1. \\frac{1}{4})
  2. \\frac{1}{5})
  3. \\frac{6}{19})
  4. \\frac{7}{33})

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Explanatory Answer

Method of solving this CAT Question from Ratio and Proportion
Ratio and Proportion - Finding the number of marbles

Given that original ratio is 4 : 9
Let us assume Lalitha gives โ€˜aโ€™ chocolates to Raju ending up in a ratio of 5 : 6
\\frac{4๐‘ฅ + ๐‘Ž}{9๐‘ฅ - ๐‘Ž}) = \\frac{5}{6})
We need to find the fraction of number of marbles given by Lalitha to the initial number of Chocolates
=> We need to find the value of \\frac{a}{9x})

\\frac{4๐‘ฅ + ๐‘Ž}{9๐‘ฅ - ๐‘Ž}) = \\frac{5}{6}) Take k = ๐‘Ž/๐‘ฅ \\frac{4 + k}{9 - k}) = \\frac{5}{6}) 11k = 21 k = \\frac{21}{11}) We need to find the value of \\frac{a}{9x}) \\frac{a}{9x}) = \\frac{k}{9}) = \\frac{21}{9 × 11}) \\frac{a}{9x}) = \\frac{7}{33})

The question is "Raju and Lalitha originally had marbles in the ratio 4 : 9. Then Lalitha gave some of her marbles to Raju. As a result, the ratio of the number of marbles with Raju to that with Lalitha became 5 : 6. What fraction of her original number of marbles was given by Lalitha to Raju?"

Hence, the answer is \\frac{7}{33})

Choice D is the correct answer.

 

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