Simple interest and true discount on a sum for a given time and rate are Rs. 85 and Rs. 80 respectively. Find the sum:_______?
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Answer: C. Rs. 1360
Explanation
The true discount formula relates simple interest and true discount through the difference between the two values. Subtracting the true discount of eighty from the simple interest of eighty-five yields a difference of five. Multiplying simple interest by true discount and dividing by their difference gives the principal sum of one thousand three hundred sixty. Simple interest is calculated directly on the original principal amount over a specified period of time. True discount represents the interest on the present worth of a sum due at a future date. Financial mathematics uses specialized formulas to bridge the gap between simple interest and present value discounts.
Option A suggests eighteen hundred, which contradicts the derived algebraic relationship between interest and discount. Option B proposes one thousand four hundred fifty, failing to satisfy the standard financial formula calculation. Option D offers six thousand eight hundred, overestimating the principal sum by a factor of five.
- Subject
- Mathematics
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- Mathematics
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- —
- Difficulty
- medium
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