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In the following questions, two statements numbered I and II are given. On solving them, we get quantities I and II respectively. Solve for both quantities and choose the correct option.
Quantity I: What is the interest paid by Raj on ₹24500 at the rate of 8% per annum compounded annually at the end of three years?
Quantity II: P and R starts a business with an initial capital of ₹15000 and ₹18000 respectively. At the end of six months Q joins the business with a capital of ₹24000 then what is the difference of profit of P and R if Q claims a profit of ₹5280 at the end of one year?
  • a)
    Quantity I > Quantity II
  • b)
    Quantity I < quantity="" />
  • c)
    Quantity I ≥ Quantity II
  • d)
    Quantity I ≤ Quantity II
  • e)
    Quantity I = Quantity II or the relation can't be determined
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
In the following questions, two statements numbered I and II are give...
Quantity I:
CI = P × ((1 + R/100)3 - 1)
CI = 24500 × ((1 + 8/100)3 - 1)
CI = 24500 × (259712/1000000) = ₹6363
Quantity II:
Investment of P = (15000 × 12) = ₹180000
Investment of R = (18000 × 12) = ₹216000
Investment of Q = (24000 × 6) = ₹144000
Ratio of capital of P, Q and R = 5:6:4
Profit of Q = ₹5280
Total profit = 5280 × 15/6 = 13200
Required difference of profit = 13200 × 1/15 = ₹880
Hence, Quantity II < quantity="" />
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In the following questions, two statements numbered I and II are given. On solving them, we get quantities I and II respectively. Solve for both quantities and choose the correct option.Quantity I: What is the interest paid by Raj on ₹24500 at the rate of 8% per annum compounded annually at the end of three years?Quantity II: P and R starts a business with an initial capital of ₹15000 and ₹18000 respectively. At the end of six months Q joins the business with a capital of ₹24000 then what is the difference of profit of P and R if Q claims a profit of ₹5280 at the end of one year?a)Quantity I > Quantity IIb)Quantity I c)Quantity I ≥ Quantity IId)Quantity I ≤ Quantity IIe)Quantity I = Quantity II or the relation can't be determinedCorrect answer is option 'A'. Can you explain this answer?
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