Select the correct answerA bag of fruits was distributed among 4 students P, Q, R and S. P took 3/8th of the fruits, Q took 15th of the remaining fruits and the remaining fruits were equally distributed among R and S. what fraction of fruits did R get?Options9/81/41/25/161/8
Question
Select the correct answerA bag of fruits was distributed among 4 students P, Q, R and S. P took 3/8th of the fruits, Q took 15th of the remaining fruits and the remaining fruits were equally distributed among R and S. what fraction of fruits did R get?Options9/81/41/25/161/8
Solution
The problem can be solved in the following steps:
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P took 3/8th of the fruits. So, the remaining fraction of the fruits is 1 - 3/8 = 5/8.
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Q took 1/5th of the remaining fruits. So, the fraction of the fruits Q took is 1/5 * 5/8 = 1/8.
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After Q took his share, the remaining fraction of the fruits is 5/8 - 1/8 = 4/8 = 1/2.
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The remaining fruits were equally distributed among R and S. So, each of them got 1/2 * 1/2 = 1/4 of the fruits.
So, the correct answer is 1/4.
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