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?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
Statements: L < E; M = O; E >K ≥ M
Conclusions:
I. L < M
II. K = O
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