Q122
The amount Rs. 2100 become Rs. 2352 in 2 years at simple interest. If the interest rate is decreased by 1% , what is the new interest ?
A.
Rs. 210
AnswerB.
Rs. 220
C.
Rs. 242
D.
Rs. 252
Answer: Option A
Solution
Answer: Option A
Solution:
\begin{aligned}
& {\text{According to the question,}} \\
& {\text{Principal}} = {\text{Rs}}{\text{. }}2100 \\
& {\text{Amount}} = {\text{Rs}}{\text{. }}2352 \\
& {\text{SI}} = {\text{A}} - {\text{P}} \\
& \,\,\,\,\,\,\, = 2352 - 2100 \\
& \,\,\,\,\,\,\, = {\text{Rs}}{\text{. }}252 \\
& {\text{Time = 2 years,}} \\
& {\text{Let rate = R% }} \\
& {\text{R = }}\frac{{252}}{{2100}} \times \frac{{100}}{2}{\text{ = 6% }} \\
& {\text{New rate of interest}} \\
& {\text{ = (6}} - {\text{1)}} \\
& {\text{ = 5% }} \\
& {\text{New interest}} \\
& {\text{ = }}\frac{{2100 \times 5 \times 2}}{{100}} \\
& {\text{ = Rs}}{\text{. 210}} \\
& {\text{Hence required interest}} \\
& {\text{ = Rs}}{\text{. 210}} \\\end{aligned}