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Rs. x invested at 9% simple interest per annum for 5 years yields the same interest as that on Rs. y invested at 6.25% simple interest per annum for 8 years. Find x ∶ y.
- a)16 : 15
- b)10 : 9
- c)45 : 50
- d)5 : 8
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Rs. x invested at 9% simple interest per annum for 5 years yields the ...
For same S.I, the ratio of amount invested is given by,
⇒ x/y = r2t2/r1t1 [where r1t1 is the rate and time at which Rs. x is invested and r2t2 is the rate and time at which Rs. y is invested]
⇒ x/y = (6.25 × 8) / (9 × 5) = 10 ∶ 9
Most Upvoted Answer
Rs. x invested at 9% simple interest per annum for 5 years yields the ...
Given:
Rate of interest for x = 9%
Rate of interest for y = 6.25%
Time for x = 5 years
Time for y = 8 years
To find: The ratio of x to y
Let's calculate the interest earned on both investments.
Simple Interest formula:
SI = (P * R * T) / 100
For x:
SIx = (x * 9 * 5) / 100 = 0.45x
For y:
SIy = (y * 6.25 * 8) / 100 = 0.5y
Since it is given that the interest earned on both investments is the same, we can equate the two expressions:
0.45x = 0.5y
To find the ratio of x to y, we need to simplify this equation.
Let's multiply both sides by 100 to remove the decimal:
100 * 0.45x = 100 * 0.5y
45x = 50y
To simplify this equation further, we can divide both sides by 5:
(45x) / 5 = (50y) / 5
9x = 10y
Now, we can express the ratio of x to y:
x : y = 9 : 10
However, the options given are in the form of fractions. To convert the ratio to a fraction, we can divide both sides by the common factor of 9:
x/9 : y/9 = 9/9 : 10/9
Simplifying this further, we get:
x/9 : y/9 = 1 : 10/9
We can multiply both sides by 9 to remove the denominators:
9 * (x/9) : 9 * (y/9) = 9 * (1 : 10/9)
x : y = 1 : 10/9
Simplifying the fraction on the right side:
x : y = 1 : (10/9)
To make the denominator a whole number, we can multiply both sides by 9:
9x : 9y = 9 : (10/9) * 9
Simplifying further:
9x : 9y = 9 : 10
Therefore, the ratio of x to y is 9 : 10.
Comparing this with the given options, we can see that the correct answer is option B) 10 : 9.
Rate of interest for x = 9%
Rate of interest for y = 6.25%
Time for x = 5 years
Time for y = 8 years
To find: The ratio of x to y
Let's calculate the interest earned on both investments.
Simple Interest formula:
SI = (P * R * T) / 100
For x:
SIx = (x * 9 * 5) / 100 = 0.45x
For y:
SIy = (y * 6.25 * 8) / 100 = 0.5y
Since it is given that the interest earned on both investments is the same, we can equate the two expressions:
0.45x = 0.5y
To find the ratio of x to y, we need to simplify this equation.
Let's multiply both sides by 100 to remove the decimal:
100 * 0.45x = 100 * 0.5y
45x = 50y
To simplify this equation further, we can divide both sides by 5:
(45x) / 5 = (50y) / 5
9x = 10y
Now, we can express the ratio of x to y:
x : y = 9 : 10
However, the options given are in the form of fractions. To convert the ratio to a fraction, we can divide both sides by the common factor of 9:
x/9 : y/9 = 9/9 : 10/9
Simplifying this further, we get:
x/9 : y/9 = 1 : 10/9
We can multiply both sides by 9 to remove the denominators:
9 * (x/9) : 9 * (y/9) = 9 * (1 : 10/9)
x : y = 1 : 10/9
Simplifying the fraction on the right side:
x : y = 1 : (10/9)
To make the denominator a whole number, we can multiply both sides by 9:
9x : 9y = 9 : (10/9) * 9
Simplifying further:
9x : 9y = 9 : 10
Therefore, the ratio of x to y is 9 : 10.
Comparing this with the given options, we can see that the correct answer is option B) 10 : 9.
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Rs. x invested at 9% simple interest per annum for 5 years yields the same interest as that on Rs. y invested at 6.25% simple interest per annum for 8 years. Find x ∶ y.a)16 : 15b)10 : 9c)45 : 50d)5 : 8Correct answer is option 'B'. Can you explain this answer?
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Rs. x invested at 9% simple interest per annum for 5 years yields the same interest as that on Rs. y invested at 6.25% simple interest per annum for 8 years. Find x ∶ y.a)16 : 15b)10 : 9c)45 : 50d)5 : 8Correct answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Rs. x invested at 9% simple interest per annum for 5 years yields the same interest as that on Rs. y invested at 6.25% simple interest per annum for 8 years. Find x ∶ y.a)16 : 15b)10 : 9c)45 : 50d)5 : 8Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rs. x invested at 9% simple interest per annum for 5 years yields the same interest as that on Rs. y invested at 6.25% simple interest per annum for 8 years. Find x ∶ y.a)16 : 15b)10 : 9c)45 : 50d)5 : 8Correct answer is option 'B'. Can you explain this answer?.
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