RRB Paramedical Staff Nurse Model Paper 6

Question : 47 of 100

Marks: +1, -0

Equal sums of money are lent to X and Y at 7.5% per annum for the period of 4 yr and 5 yr respectively. If the difference in interest paid by them was Rs. 150, the sum lent to each was

Rs. 500
Rs. 1000
Rs. 2000
Rs. 3000

Validate

Solution:

Given.

R=7.5 \%,\;T_{1}=4,\;T_{2}=5

Let the sum lent be Rs

x

.
Then, difference in

{Sl}=\;{P×R× {T_2}}/{100}-\;{ {P} ×R×{T}_{1}}/{100}

Difference in SI

\;{x × 7.5 × 5}/{100}-\;{x × 7.5 × 4}/{100}=150

⇒\;{x × 7.5 × 1}/{100}=150

⇒\; x=\;{150 × 100}/{7.5}=\Rs 2000

Alternate Method
SI for 1 yr =150
Then,

={\Principal×\Rate×Time}/100

Principal

={SI×100}/{\Rate×\Time}

={150×100}/{7.5×1}=2000

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