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    Question

    Mayank and Manoj started a business with investing

    capital in the ratio of 8:15. After 4 months, Mayank reduced his (1 )/(4 ) portion of the capital and after 7 months, Manoj added his (1 )/(5 ) portion of the capital. If the total profit at the end of the year is Rs. 8,250, what would be Manojโ€™s share in it?ย 
    A Rs. 5580 Correct Answer Incorrect Answer
    B Rs. 6650 Correct Answer Incorrect Answer
    C Rs. 5850 Correct Answer Incorrect Answer
    D Rs. 6850 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the Mayankโ€™s capital = 8 x Manojโ€™s capital = 15 x Total profit = Rs 8,250ย  According to the question, Total capital invested by Mayank = 8 x ร—4+8 ร—(8x-(8x )/4)ย  = 32x + 48x = 80xย  Total capital invested by Manoj = 15 x ร—7+5 ร—(15x+(15x )/5)ย  = 105x + 90x = 195xย  Share of Mayank and Manoj = 80 x : 195 xย  Share of Manoj = (8,250ย  )/(275 )ร— 195 = Rs. 5,850ย 

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