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Directions: Study the caselet and answer the questions that follow.Aman, Ashish and Ansh started a business by investing money in the ratio…

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Directions: Study the caselet and answer the questions that follow.
Aman, Ashish and Ansh started a business by investing money in the ratio 8 : 4 : 3. After two months of investing, Ashish and Ansh again invested 10% and 20% of their invested amount in the business respectively, while Aman withdrew 40% of his investment amount after 4 months of investing. Two months before the year end, Aman and Ashish again withdrew Rs. 8000 and Rs. 9000 from the business respectively. Ansh also withdrew Rs. 10000, which is 1/3 of his initial investment amount, from the business. On the other hand, Nitin and Niketan also started their business at the same time making an investment of Rs. 40000 and Rs. 20000 respectively. After 4 months, Nilesh also invested Rs. 15500 in their business. Also, after four months of starting, Nitin withdrew 5% of his investment amount from the business, while Niketan withdrew 15% of his investment amount after 6 months of starting. But, three months before the year end, all three of them invested Rs. 10000 each in the business. Sumit and Sanjay also made investments in both the businesses. They invested a total amount of Rs. 70000 and Rs. 80000 respectively. Sumit invested in both the businesses in the ratio 3 : 7 after 2 months and 4 months of the starting of business respectively. On the other hand, Sanjay invested in the ratio 3 : 5 after 4 months and 6 months of starting respectively. At the end of the year, Sumit received a profit of Rs. 10500 from the first business and Sanjay received a profit of Rs. 22500 from the second business.
What is the ratio of the total profit received by Sumit and Sanjay?
  • A101 : 75
  • B117 : 84
  • C128 : 93
  • D133 : 115
Answer not set

Discussion 1

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CCommunity
Sumit’s investment in first business = [(3/10) × 70000] × (12 - 2) = 21000 × 10 = 210000

Sanjay’s investment in first business = [(3/8) × 80000] × (12 - 4) = 30000 × 8 = 240000

Hence,

Ratio of their investments = ratio of their profit share

⇒ 210000/240000 = 10500/Sanjay’s profit

⇒ Sanjay’s profit = 10500 × (8/7) = Rs. 12000

Similarly,

Sumit’s investment in second business = [(7/10) × 70000] × (12 - 4) = 49000 × 8 = 392000

Sanjay’s investment in second business = [(5/8) × 80000] × (12 - 6) = 50000 × 6 = 300000

Hence,

Ratio of their investments = ratio of their profit share

⇒ 392000/300000 = Sumit’s profit/22500

⇒ Sumit’s profit = 22500 × (98/75) = Rs. 29400

∴ Ratio of their total profit = (10500 + 29400) : (12000 + 22500) = 39900 : 34500 = 133 : 115