Question

If the simple interest on Rs. 2000 is less than the Simple Interest on Rs. 3000 at 5% by Rs. 50, find the time.
Options:
A .  2.5 year
B .  1 year
C .  1.5 year
D .  2 year
Answer: Option B

Answer : Option B

Explanation :

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Solution 1
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$MF#%\begin{align}&\dfrac{3000 \times 5 \times \text{T}}{100} - \dfrac{2000 \times 5 \times \text{T}}{100} = 50\\\\ &(3000-2000)\dfrac{5 \times \text{T}}{100} = 50\\\\ &1000 \times \dfrac{5 \times \text{T}}{100} = 50\\\\ &50 \text{T} = 50\\\\ &\text{T} = 1\text{ year}\end{align}$MF#%
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Solution 2
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Difference in principal = 3000-2000 = 1000
i.e., Simple Interest on Rs.1000 will be Rs.50
$MF#%\dfrac{1000 \times 5 \times \text{T}}{100} = 50\\\\ 50 \text{T} = 50\\\\ \text{T} = 1\text{ year}$MF#%



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