Aptitude - Simple Interest - Discussion
Discussion Forum : Simple Interest - General Questions (Q.No. 11)
11.
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:
Answer: Option
Explanation:
S.I. for 3 years = Rs. (12005 - 9800) = Rs. 2205.
| S.I. for 5 years = Rs. |  |
2205 | x 5 |  |
= Rs. 3675 |
| 3 |
Principal = Rs. (9800 - 3675) = Rs. 6125.
| Hence, rate = | |
100 x 3675 | % |
= 12% |
| 6125 x 5 |
Video Explanation: https://youtu.be/UYwiBCRN39s
Discussion:
68 comments Page 2 of 7.
Shyam said:
9 years ago
THE DIFFERENCE BETWEEN GIVEN YEARS 5 AND 8 IS 3,
SO,
S.I. for 3 years = Rs. (12005 - 9800) = Rs. 2205.
S.I. for 1 year = Rs. (2205/3) = Rs 735.
S.I. for 5 years = 735*5 = Rs. 3675.
Principal = Rs. (9800 - 3675) = Rs. 6125.
Hence, rate = 12%.
SO,
S.I. for 3 years = Rs. (12005 - 9800) = Rs. 2205.
S.I. for 1 year = Rs. (2205/3) = Rs 735.
S.I. for 5 years = 735*5 = Rs. 3675.
Principal = Rs. (9800 - 3675) = Rs. 6125.
Hence, rate = 12%.
Sankarilakshmi said:
9 years ago
Here,
A1= 9800 and T1 = 5 yrs.
A2=12005 and T2 = 8 yrs.
Formula for this type of question to find R% =( (A1-A2) / (A2*T1 - A1*T2) ) *100.
Therefore,
R% =( (9800 - 12005) / ( 12005*5 - 9800*8 ) ) * 100,
= (-2205 /-18375) * 100,
= 12%.
A1= 9800 and T1 = 5 yrs.
A2=12005 and T2 = 8 yrs.
Formula for this type of question to find R% =( (A1-A2) / (A2*T1 - A1*T2) ) *100.
Therefore,
R% =( (9800 - 12005) / ( 12005*5 - 9800*8 ) ) * 100,
= (-2205 /-18375) * 100,
= 12%.
Anonymous said:
9 years ago
Can't we think in this way that after five years amount is 9800 and we know each year S.I is 735 and we will add to it but 10% of 9800 is 980. So the answer should be obviously less than 10%. I am talking for the 6th year.
Fera said:
7 years ago
A radio is sold for RM75 cash. Mak Minah bought it by making a down payment of RM20. He paid the balance plus interest charged of RM5 after one month. What was the rate was charged?
Can someone help me to solve this?
Can someone help me to solve this?
Fera said:
7 years ago
A radio is sold for RM75 cash. Mak minah bought it by making a down payment of RM20. He paid the balance plus interest charged of RM5 after one month. What was the rate was charged?
Can someone help me solve this?
Can someone help me solve this?
Dharshan said:
1 decade ago
SI For 3 years = 12500-9800 = 2205.
SI For 1 year = 2205/3 = 735.
So, SI For 5 years = 5*735 = 3675.
Principal for 5 years = 9800-3675 = 6125.
Now calculate rate for 5 years = (3675*100)/(6125*5) = 12%.
SI For 1 year = 2205/3 = 735.
So, SI For 5 years = 5*735 = 3675.
Principal for 5 years = 9800-3675 = 6125.
Now calculate rate for 5 years = (3675*100)/(6125*5) = 12%.
Manju said:
7 years ago
SI for 3 years=12,005-9800=2205.
SI for 1 year=2205/3=735.
SI for 5 year=735*5=3675.
p = total amount - SI.
p = 9800-3675=6125.
The rate of interest = SI *100/p*n,
R = 3675*100/6125*5,
R =12%.
SI for 1 year=2205/3=735.
SI for 5 year=735*5=3675.
p = total amount - SI.
p = 9800-3675=6125.
The rate of interest = SI *100/p*n,
R = 3675*100/6125*5,
R =12%.
(5)
Akhi said:
1 decade ago
Ques: The simple interest of a certain sum for 2 years is Rs 580 and for 5 years is Rs 700 with the same rate of interest. Find the rate of interest.
Can anyone solve this please?
Can anyone solve this please?
Annu said:
5 years ago
In question, it is clearly mentioned that we need to fine rate of interest per annum that is for 1 year but we had find rate of interest for 5 yrs, is it correct.
Kindly explain.
Kindly explain.
(1)
Mathan said:
1 decade ago
For this type of Question, use this formula.
a = 9800 ; b = 12005 ; t1 = 5 yrs ; t2 = 8 yrs
Principal = (at2 - bt1)/(t2-t1)
Rate = ((b-a)x100)/(bt1-at2) %
Hope it works.
a = 9800 ; b = 12005 ; t1 = 5 yrs ; t2 = 8 yrs
Principal = (at2 - bt1)/(t2-t1)
Rate = ((b-a)x100)/(bt1-at2) %
Hope it works.
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