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Question Detail
There was simple interest of Rs. 4016.25 on a principal amount at the rate of 9%p.a. in 5 years. Find the principal amount
- Rs 7925
- Rs 8925
- Rs 7926
- Rs 7925
Answer: Option B
Explanation:
\begin{aligned}
P = \frac{S.I. * 100}{R*T}
\end{aligned}
So by putting values from our question we can get the answer
\begin{aligned}
P = \frac{4016.25 * 100}{9*5} \\
= 8925
\end{aligned}
1. What will the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years.
- 1:2
- 2:1
- 2:2
- 2:3
Answer: Option D
Explanation:
Let the principal be P and rate be R
then
\begin{aligned}
\text{ratio = } [\frac{(\frac{P*R*6}{100})}{(\frac{P*R*9}{100})}] \\
= \frac{6PR}{9PR} = 2:3
\end{aligned}
2. A lent Rs. 5000 to B for 2 years and Rs 3000 to C for 4 years on simple interest at the same rate of interest and received Rs 2200 in all from both of them as interest. The rate of interest per annum is
- 9%
- 10%
- 11%
- 12%
Answer: Option B
Explanation:
Let R% be the rate of simple interest then,
from question we can conclude that
\begin{aligned}
(\frac{5000*R*2}{100}) + (\frac{3000*R*4}{100}) = 2200 \\
<=> 100R + 120R = 2200 \\
<=> R = 10\%
\end{aligned}
3. What is the present worth of Rs. 132 due in 2 years at 5% simple interest per annum
- 110
- 120
- 130
- 140
Answer: Option B
Explanation:
Let the present worth be Rs.x
Then,S.I.= Rs.(132 - x)
=› (x*5*2/100) = 132 - x
=› 10x = 13200 - 100x
=› 110x = 13200
x= 120
4. At what rate percent per annum will the simple interest on a sum of money be 2/5 of the amount in 10 years
- 1%
- 2%
- 3%
- 4%
Answer: Option D
Explanation:
Let sum = x
Time = 10 years.
S.I = 2x /5, [as per question]
Rate =( (100 * 2x) / (x*5*10))%
=> Rate = 4%
5. A sum of money amounts to Rs 9800 after 5 years and Rs 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is
- 9%
- 10%
- 11%
- 12%
Answer: Option D
Explanation:
We can get SI of 3 years = 12005 - 9800 = 2205
SI for 5 years = (2205/3)*5 = 3675 [so that we can get principal amount after deducting SI]
Principal = 12005 - 3675 = 6125
So Rate = (100*3675)/(6125*5) = 12%
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