Aptitude - Simple Interest - Discussion
Discussion Forum : Simple Interest - General Questions (Q.No. 7)
7.
An automobile 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:
Answer: Option
Explanation:
Let the sum be Rs. 100. Then,
| S.I. for first 6 months = Rs. |  |
100 x 10 x 1 |  |
= Rs. 5 |
| 100 x 2 |
| S.I. for last 6 months = Rs. | |
105 x 10 x 1 | |
= Rs. 5.25 |
| 100 x 2 |
So, amount at the end of 1 year = Rs. (100 + 5 + 5.25) = Rs. 110.25
Effective rate = (110.25 - 100) = 10.25%
Discussion:
118 comments Page 1 of 12.
Tshering Tobgay said:
8 months ago
R = e^i-1
= e^(0.1)-1
= 1.105-1
= 0.105
= 10.5%.
= e^(0.1)-1
= 1.105-1
= 0.105
= 10.5%.
(2)
Shima said:
10 months ago
Effective rate = [(1+(r/n))^n] - 1.
r = 10.
n = 2 (1 interest per 6 months so 2 for 1 year).
r = 10.
n = 2 (1 interest per 6 months so 2 for 1 year).
(5)
Yolo said:
1 year ago
Why didn't we use (1+i)^n-1 here? Please explain.
(1)
Akash S G said:
1 year ago
Why is it getting compounded even though its simple interest? Shouldn't it be;
100 * 2 * 10 / 200 also by the given logic of the question for 10 years, how will you calculate it will you keep compounding?
Anyone, explain it clearly.
100 * 2 * 10 / 200 also by the given logic of the question for 10 years, how will you calculate it will you keep compounding?
Anyone, explain it clearly.
(18)
Nila Maity said:
2 years ago
It's very helpful for me, Thanks.
(1)
Jeet said:
2 years ago
The unit for rate of interest is P.C.P.A that is per-cent per annum, therefore we had calculated the effective rate of interest for 1 annum i.e. 1 year.
(2)
Sonam said:
2 years ago
Here,T = 0.5 month or 1/2 month (6month)
For that, they are multiplying denominators by 2.
For that, they are multiplying denominators by 2.
(20)
Joy said:
2 years ago
Why are they multiplying denominators by 2? Please, anyone, help me by explaining.
(10)
Pankaj Shelke said:
2 years ago
Why We consider 100 at starting?
Please explain.
Please explain.
(21)
Melkam getaneh said:
3 years ago
SI = PRT/100.
Let p = 200.
SI=200*10*1/2 divided by 100=10 for six month,
SI=210*10*1/2 divided by 100=10.5 for second six months,
SI for one year = 220.5 - 200 = 20.5.
Now, I=PRR/100.
20.5 = 200 * R * 1/100,
20.5 * 100 = 200R,
2050 = 200R,
R = 2050/200,
R = 10.25.
Let p = 200.
SI=200*10*1/2 divided by 100=10 for six month,
SI=210*10*1/2 divided by 100=10.5 for second six months,
SI for one year = 220.5 - 200 = 20.5.
Now, I=PRR/100.
20.5 = 200 * R * 1/100,
20.5 * 100 = 200R,
2050 = 200R,
R = 2050/200,
R = 10.25.
(41)
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