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Question Detail
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
1. 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}
2. 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}
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. 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
5. A financier claims to be lending money at simple interest, But he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes.
- 10.25%
- 10%
- 9.25%
- 9%
Answer: Option A
Explanation:
Let the sum is 100.
As financier includes interest every six months., then we will calculate SI for 6 months, then again for six months as below:
SI for first Six Months = (100*10*1)/(100*2) = Rs. 5
Important: now sum will become 100+5 = 105
SI for last Six Months = (105*10*1)/(100*2) = Rs. 5.25
So amount at the end of year will be (100+5+5.25)
= 110.25
Effective rate = 110.25 - 100 = 10.25
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