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Question Detail
Find the simple interest on Rs 7000 at 50/3 % for 9 months
- Rs. 1075
- Rs. 975
- Rs. 875
- Rs. 775
Answer: Option C
Explanation:
\begin{aligned}
\text{ S.I. = } \frac{P \times R \times T}{100}
\end{aligned}
So, by putting the values in the above formula, our result will be.
\begin{aligned}
\text{ Required result = } \frac{7000 \times 50 \times 9}{3 \times 12 \times 100} = 875
\end{aligned}
[Please note that we have divided by 12 as we converted 9 months in a year format]
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. The simple interest on a certain sum of money at the rate of 5% p.a. for 8 years is Rs. 840. At what rate of intrest the same amount of interest can be received on the same sum after 5 years.
- 5%
- 6%
- 7%
- 8%
Answer: Option D
Explanation:
Here firstly we need to calculate the principal amount, then we can calculate the new rate.
\begin{aligned}
P = \frac{S.I. * 100}{R*T} \\
P = \frac{840 * 100}{5*8} \\
P = 2100 \\
\text{Required Rate = } \frac{840 * 100}{5*2100} \\
R = 8\%\\
\end{aligned}
3. Sachin borrows Rs. 5000 for 2 years at 4% p.a. simple interest. He immediately lends money to Rahul at 25/4% p.a. for 2 years. Find the gain of one year by Sachin.
- 110.50
- 111.50
- 112.50
- 113.50
Answer: Option C
Explanation:
Two things need to give attention in this question, First we need to calculate gain for 1 year only.
Second, where we take money at some interest and lends at other, then we use to subtract each other to get result in this type of question. Lets solve this Simple Interest question now.
\begin{aligned}
\text{Gain in 2 year = } \\
[(5000 \times \frac{25}{4} \times \frac{2}{100})-(\frac{5000 \times 4 \times 2}{100})] \\
= (625 - 400) = 225 \\
\text{ So gain for 1 year = }\\
\frac{225}{2} = 112.50
\end{aligned}
4. 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%
5. In how many years Rs 150 will produce the same interest at 8% as Rs. 800 produce in 3 years at 9/2%
- 8
- 9
- 10
- 11
Answer: Option B
Explanation:
Clue:
Firstly we need to calculate the SI with prinical 800,Time 3 years and Rate 9/2%, it will be Rs. 108
Then we can get the Time as
Time = (100*108)/(150*8) = 9
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