Question
Ishaan and Kabir invested ₹25,000 and ₹30,000
respectively. For the next six months after the first month Ishaan kept on adding ₹1000 while Kabir kept on removing ₹2000 every month. In the remaining months Ishaan kept on removing ₹1000 while Kabir kept on adding ₹2000 every month. Naina joined them with ₹60,000 four months after the start and continued till the end. If the total profit is ₹2,30,000, what will be the difference in the shares of Naina and Ishaan?Solution
Ishaan's investment: 1000 [25 + (26+27+28+29+30+31) + (30+29+28+27+26)]
= 1000 [25 + 171 + 140]
= 1000 [336] = ₹3,36,000
Kabir's investment: 1000 [30 + (28+26+24+22+20+18) + (20+22+24+26+28)]
= 1000 [30 + 138 + 120]
= 1000 [288] = ₹2,88,000
Naina's investment: 8 × 60,000 = ₹4,80,000
Ratio of Profits: 336 : 288 : 480
Difference in the shares of Naina and Ishaan:
{(480-336) × 2,30,000}/(336+288+480)
= (144 × 2,30,000)/1104 = ₹30,000
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