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Question Detail
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}
1. Rs. 800 becomes Rs. 956 in 3 years at a certain rate of simple interest. If the rate of interest is increased by 4%, what amount will Rs. 800 become in 3 years.
- Rs 1052
- Rs 1152
- Rs 1252
- Rs 1352
Answer: Option A
Explanation:
S.I. = 956 - 800 = Rs 156
\begin{aligned}
R = \frac{156*100}{800*3} \\
R = 6\frac{1}{2}\% \\
\text{ New Rate = }6\frac{1}{2}+4 \\
= \frac{21}{2} \% \\
\text{ New S.I. = }800\times\frac{21}{2}\times{3}{100} \\
= 252
\end{aligned}
Now amount will be 800 + 252 = 1052
2. If a sum of money doubles itself in 8 years at simple interest, the ratepercent per annum is
- 12
- 12.5
- 13
- 13.5
Answer: Option B
Explanation:
Let sum = x then Simple Interest = x
Rate = (100 * x) / (x * 8) = 12.5
3. A sum of money at simple interest amounts to Rs. 2240 in 2 years and to Rs. 2600 in 5 years. What is the principal amount
- 1000
- 1500
- 2000
- 2500
Answer: Option C
Explanation:
SI for 3 year = 2600-2240 = 360
SI for 2 year 360/3 * 2 = 240
principal = 2240 - 240 = 2000
4. 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
5. 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
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