Aptitude - Simple Interest - Discussion

Discussion Forum : Simple Interest - General Questions (Q.No. 13)
13.
A certain amount earns simple interest of Rs. 1750 after 7 years. Had the interest been 2% more, how much more interest would it have earned?
Rs. 35
Rs. 245
Rs. 350
Cannot be determined
None of these
Answer: Option
Explanation:

We need to know the S.I., principal and time to find the rate.

Since the principal is not given, so data is inadequate.

Discussion:
98 comments Page 2 of 10.

Puthiabala said:   6 years ago
The Answer is 35.

Equation One = 7*P*R/100=1750
to be found (7*P*R+2)/100 = ?
we can rewrite as (7*P*R)100 + 2/100 = ?
and then 1750 + 2/100 = 35.
(1)

Kunal roy said:   7 years ago
As per data specified p and yr are constant only rates changes.
Moreover, SI is directly proportional.
So, I think the answer would be 35.
(1)

Tanmayi Melavanki said:   5 years ago
I think the answer should be 35. I am not getting why they are saying data inadequate.

Old interest=(P*R*7)/100= 1750.

New interest= [P*R*7*(102/100)]/100.
=[(P*R*7)/100]*[102*100].
=1750*(102/100),
=1785.

So, the answer is = New Interest- Old interest = 1785 - 1750 = 35.
(1)

Xayo said:   4 years ago
Here in the first case;

P * 7 * R/100 = 1750 -----> (1)
And in the second case interest is increased by 2%( Rate of interest).

P*7*(R+2)/100=? -------> (2)

HERE THE Rate of Interest is R+2 because the 100 in the demo is for the Rate of Interest Calculation i.e., R/100 is R%.

So, by the two equations, we get 3 unknown values. But to solve 3 unknown values we need 3 equations. hence there is no solution for this question unless one of the 3 unknown values is given.
(1)

Satyajit Das said:   1 decade ago
1750 = PR7/100.

=>PR = 25000-----(1).

Again,
SI = (P*102/100*R*7) / 100.

=>PR = (100*100*SI) / 7*102------(2).

By equating (1) and (2).

SI = 1785.

So ans is 1785-1750 = 35.
(1)

Yokesh Velraj said:   1 year ago
Answer (C) Let us assume the principal amount and interest rate is 2500 and 10%. In that, the rate increases by 2%, meaning the interest rate is 12%.

From that, we must calculate using the Simple interest formula PNR/100. New SI after 7 years is 2100 and (2100 -1750) = 350 rs.
(1)

Akhil Subramanian said:   8 years ago
1750 divided by 7 give Interest for one year ie, Rs 250.

Here, 2% of 250 is 5.
So if the interest is increased by 2% then the Interest for one year will 255.
So for 7 years 1785.
Thus the difference will be Rs 35.
(1)

Manoj said:   8 years ago
Can we consider the amount as 1000 and calculate the interest. As for one year S.I is 250. So we get the rate of interest as 25. And if we add two percent to it and get S.I it will be 270. 270x7 will give you 1890. So 1890-1750 should give you 140. Then Why it can't be determined?

Narendra said:   8 years ago
2% increase in interest- here interest is simple interest because we never call rate of interest as interest.

So answer is 2% of interest= (2% of 1750) =35 given, interest=1750.

Aakash said:   8 years ago
The answer should be 35.

Given:
p*r*7/100 = 1750.

According to question;

new rate = r+2%of r.
new rate = r+0.02*r.
new rate = 1.02*r.
Hence new SI = p*1.02*r*7/100,
new Si = 1.02*p*r*7/100,
new Si = 1.02*1750,
= 1785.

Difference = 1785-1750 = 35.


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