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    Question

    Ratio of number of girls and boys in orphanage A is 8:7

    respectively. If number of boys in orphanage C is 60% of the boys in orphanage A. Find the number of girls in orphanage C. Read the following information carefully and answer the given questions: The following pie-chart shows the percentage distribution of number of children in five (A, B, C, D and E) different orphanages. Note:  Total number of children in all the orphanages is 500.
    A 79 Correct Answer Incorrect Answer
    B 88 Correct Answer Incorrect Answer
    C 60 Correct Answer Incorrect Answer
    D 65 Correct Answer Incorrect Answer
    E 72 Correct Answer Incorrect Answer

    Solution

    Number of children in orphanage A = 15% of 500 = 75 Number of children in orphanage C = 20% of 500 = 100 Number of children in orphanage D = 10% of 500 = 50 According to the question, => 75 + 4x + 100 + 50 + x = 500 => 5x = 500 – 225 => x = 55 Number of children in orphanage E = x = 55 Number of children in orphanage B = 4x = 4 × 55 = 220 Number of boys in orphanage A = (7/15) × 75 = 35 Number of boys in orphanage C = (60/100) × 35 = 21 Number of girls in orphanage C = 100 – 21 = 79

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