Question
Puneet and Gaurav invested ₹40,000 and ₹24,000
respectively. For the next six months after the first month Puneet kept on removing ₹1000 while Gaurav kept on adding ₹1000 every month. In the remaining months Puneet kept on adding ₹1000 while Gaurav kept on removing ₹1000 every month. Harsh joined them with ₹70,000 one month after the start and continued till the end. If the total profit is ₹7,69,000, what will be the difference in the shares of Harsh and Puneet?Solution
Puneet's investment: 1000 [40 + (39+38+37+36+35+34) + (35+36+37+38+39)]
= 1000 [40 + 219 + 185]
= 1000 [444] = ₹4,44,000
Gaurav's investment: 1000 [24 + (25+26+27+28+29+30) + (29+28+27+26+25)]
= 1000 [24 + 165 + 135]
= 1000 [324] = ₹3,24,000
Harsh's investment: 11 × 70,000 = ₹7,70,000
Ratio of Profits: 444 : 324 : 770
Difference in the shares of Harsh and Puneet:
{(770-444) × 7,69,000}/(444+324+770)
= (326 × 7,69,000)/1538 = ₹1,63,000
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