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At a certain rate of simple interest per annum a sum of Rs. P becomes 11/8 times itself in 6 years. What will be the ratio of the amount obtained on Rs. 2P at the same rate in 5 years to the amount obtained on Rs. 3P at the same rate in 12 years?
  • a)
    1 : 2
  • b)
    2 : 3
  • c)
    2 : 5
  • d)
    4 : 5
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
At a certain rate of simple interest per annum a sum of Rs. P becomes ...
P : A = 8 : 11 or 16 : 22



Hence, option A is correct.
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Community Answer
At a certain rate of simple interest per annum a sum of Rs. P becomes ...

Given Data:
P becomes 11/8 times itself in 6 years at a certain rate of interest per annum.

Calculating Rate of Interest:
Let the rate of interest be R% per annum.
Using the formula for simple interest:
SI = (P * R * T) / 100
11P/8 = P + (P * R * 6) / 100
R = 50/3 %

Calculating Amounts:
Amount on Rs. 2P in 5 years:
A = P + (P * 50/3 * 5) / 100 = 17P/6

Amount on Rs. 3P in 12 years:
A = 3P + (3P * 50/3 * 12) / 100 = 11P

Calculating Ratio:
Ratio of amounts = 17P/6 : 11P = 17 : 6 ≈ 3 : 1

Therefore, the ratio of the amount obtained on Rs. 2P at the same rate in 5 years to the amount obtained on Rs. 3P at the same rate in 12 years is 3 : 1, which is equivalent to option A.
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At a certain rate of simple interest per annum a sum of Rs. P becomes 11/8 times itself in 6 years. What will be the ratio of the amount obtained on Rs. 2P at the same rate in 5 years to the amount obtained on Rs. 3P at the same rate in 12 years?a)1 : 2b)2 : 3c)2 : 5d)4 : 5Correct answer is option 'A'. Can you explain this answer?
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