Question
Rohit and Dev invested ₹32,000 and ₹18,000
respectively. For the next four months after the first month both kept on adding ₹2000 every month. In the remaining months both kept on removing ₹2000 every month. Meera joined them with ₹60,000 five months after the start and continued till the end. If the total profit is ₹2,65,000, what will be the difference in the shares of Meera and Rohit?Solution
Rohit's investment: 1000 [32 + (34+36+38+40) + (38+36+34+32+30+28+26)]
= 1000 [32 + 148 + 224]
= 1000 [404] = ₹4,04,000
Dev's investment: 1000 [18 + (20+22+24+26) + (24+22+20+18+16+14+12)]
= 1000 [18 + 92 + 126]
= 1000 [236] = ₹2,36,000
Meera's investment: 7 × 60,000 = ₹4,20,000
Ratio of Profits: 404 : 236 : 420
Difference in the shares of Meera and Rohit:
{(420-404) × 2,65,000}/(404+236+420)
= (16 × 2,65,000)/1060 = ₹4,000
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