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    Question

    Tanya and Varun invested ₹26,000 and ₹26,000

    respectively at the beginning of a year. For the next six months after the first month Tanya kept on adding ₹1000 every month while Varun kept on removing ₹1000 every month. In the remaining months Tanya kept on removing ₹1000 while Varun kept on adding ₹1000 every month. Arjun joined them with ₹52,000 three months after the start and continued till the end of the year. If the total profit at the end of the year is ₹9,10,000, what will be the difference in the shares of Arjun and Tanya?
    A ₹90,000 Correct Answer Incorrect Answer
    B ₹95,000 Correct Answer Incorrect Answer
    C ₹1,00,000 Correct Answer Incorrect Answer
    D ₹1,05,000 Correct Answer Incorrect Answer
    E ₹1,10,000 Correct Answer Incorrect Answer

    Solution

    Tanya's investment: 1000 [26 + (27+28+29+30+31+32) + (31+30+29+28+27)]
    = 1000 [26 + 177 + 145]
    = 1000 [348] = ₹3,48,000

    Varun's investment: 1000 [26 + (25+24+23+22+21+20) + (21+22+23+24+25)]
    = 1000 [26 + 135 + 115]
    = 1000 [276] = ₹2,76,000

    Arjun's investment: 9 × 52,000 = ₹4,68,000

    Ratio of Profits: 348 : 276 : 468

    Difference in the shares of Arjun and Tanya:
    {(468-348) × 9,10,000}/(348+276+468)
    = (120 × 9,10,000)/1092 = ₹1,00,000

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