[1 year] If the simple interest on Rs. 2000 is less than the Simple Interest on Rs. 3000 at 5% by Rs. 50, fin

For Competitive Exams

If the simple interest on Rs. 2000 is less than the Simple Interest on Rs. 3000 at 5% by Rs. 50, find the time.

2.5 year

1 year

1.5 year

2 year

Explanation:

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Solution 1

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$\dfrac{3000 \times 5 \times \text{T}}{100} - \dfrac{2000 \times 5 \times \text{T}}{100} = 50$

$\left(3000-2000\right)\dfrac{5 \times \text{T}}{100} = 50$

$1000 \times \dfrac{5 \times \text{T}}{100} = 50$

$50 \text{T} = 50$

$\text{T} = 1\text{ year}$

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Solution 2

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Difference in principal = $\left(3000-2000\right)$ = 1000

i.e., Simple Interest on Rs.1000 will be Rs.50

$\dfrac{1000 \times 5 \times \text{T}}{100} = 50$

$50 \text{T} = 50$

$\text{T} = 1\text{ year}$

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