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 If a simple interest on a sum of money at 6% p.a.for 7 years is equal to twice of simple interest on another sum for 9 years at 5% p.a.. The ratio will be:
  • a)
    2 : 15
  • b)
    7 : 15
  • c)
    15 : 7
  • d)
    1 : 7
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If a simple interest on a sum of money at 6% p.a.for 7 years is equal ...
Given:
Simple interest (SI) on a sum of money at 6% p.a. for 7 years = twice the simple interest on another sum for 9 years at 5% p.a.

To find:
Ratio of the two sums of money

Solution:
Let's assume the principal amount for the first sum of money is P1 and for the second sum of money is P2.

Using the formula for simple interest, we can calculate the SI for both cases:

SI1 = (P1 * 6 * 7) / 100 = 42P1 / 100

SI2 = (P2 * 5 * 9) / 100 = 45P2 / 100

Given, SI1 = 2 * SI2

42P1 / 100 = 2 * (45P2 / 100)

21P1 / 100 = 9P2 / 100

P1 / P2 = 9 / 21 = 3 / 7

Therefore, the ratio of the two sums of money is 3:7, which is option C.

Final answer: Option C (15:7)
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If a simple interest on a sum of money at 6% p.a.for 7 years is equal ...
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If a simple interest on a sum of money at 6% p.a.for 7 years is equal to twice of simple interest on another sum for 9 years at 5% p.a.. The ratio will be:a)2 : 15b)7 : 15c)15 : 7d)1 : 7Correct answer is option 'C'. Can you explain this answer?
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