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What sum will yield Rs. 491.68 as simple interest at 8% per annum for 1 year and 2 months?
- a)Rs. 4364
- b)Rs. 4906
- c)Rs. 5268
- d)Rs. 4758
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
What sum will yield Rs. 491.68 as simple interest at 8% per annum for ...
Let the sum be x,
Interest earned on it = (x × 8 × 14/12) /100
⇒ (x × 8 × 14/12) /100 = 491.68
⇒ x × 8 × 14/12 = 49168
⇒ x = (49168 × 12) / (8 × 14)
∴ x = Rs. 5268
Interest earned on it = (x × 8 × 14/12) /100
⇒ (x × 8 × 14/12) /100 = 491.68
⇒ x × 8 × 14/12 = 49168
⇒ x = (49168 × 12) / (8 × 14)
∴ x = Rs. 5268
Most Upvoted Answer
What sum will yield Rs. 491.68 as simple interest at 8% per annum for ...
Calculation of Simple Interest:
To calculate the simple interest, we use the formula:
Simple Interest (SI) = (Principal x Rate x Time) / 100
Given:
Principal (P) = ?
Rate (R) = 8%
Time (T) = 1 year and 2 months = 1 + 2/12 years = 1.1667 years
Simple Interest (SI) = Rs. 491.68
Substitute the values into the formula:
491.68 = (P x 8 x 1.1667) / 100
491.68 = 0.0933P
P = 491.68 / 0.0933
P = Rs. 5268
Therefore, the sum that will yield Rs. 491.68 as simple interest at 8% per annum for 1 year and 2 months is Rs. 5268.
Correct Answer: c) Rs. 5268
To calculate the simple interest, we use the formula:
Simple Interest (SI) = (Principal x Rate x Time) / 100
Given:
Principal (P) = ?
Rate (R) = 8%
Time (T) = 1 year and 2 months = 1 + 2/12 years = 1.1667 years
Simple Interest (SI) = Rs. 491.68
Substitute the values into the formula:
491.68 = (P x 8 x 1.1667) / 100
491.68 = 0.0933P
P = 491.68 / 0.0933
P = Rs. 5268
Therefore, the sum that will yield Rs. 491.68 as simple interest at 8% per annum for 1 year and 2 months is Rs. 5268.
Correct Answer: c) Rs. 5268
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Community Answer
What sum will yield Rs. 491.68 as simple interest at 8% per annum for ...
Let the sum be x,
Interest earned on it = (x × 8 × 14/12) /100
⇒ (x × 8 × 14/12) /100 = 491.68
⇒ x × 8 × 14/12 = 49168
⇒ x = (49168 × 12) / (8 × 14)
∴ x = Rs. 5268
Interest earned on it = (x × 8 × 14/12) /100
⇒ (x × 8 × 14/12) /100 = 491.68
⇒ x × 8 × 14/12 = 49168
⇒ x = (49168 × 12) / (8 × 14)
∴ x = Rs. 5268
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What sum will yield Rs. 491.68 as simple interest at 8% per annum for 1 year and 2 months?a)Rs. 4364b)Rs. 4906c)Rs. 5268d)Rs. 4758Correct answer is option 'C'. Can you explain this answer?
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