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:
97 comments Page 2 of 10.

Vasanth said:   1 decade ago
If are increased by 2% interest becomes 1.02r.

Vijay said:   1 decade ago
Here the ans is sp=3500
prinicipal amount is same so p1=p2=x,time is same,the rate is different r,2r

p1=p2
sp1*100/t1r2=sp2*100/t2r2
1750/(7*r)=sp/(7*2r)
sp=3500
so sp2-sp1=1750

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)

Anusha said:   1 decade ago
@Satyajit das.

You said that si= (p*102/100*R*7)/100.

How it will come?

Mainly I want the number 102 from where it has come?

That equation 2 is also same doubt.

Can you explain me briefly?

Satyajit dash said:   1 decade ago
Hi @Anusha,

As in question given, 2% more interest than the first case,
So, rate of interest = r+(2r/100) = 102r/100.

Hope understood.

Waseem Khan said:   1 decade ago
I think 245 is correct as they asked for Increase in interest. So 2% of total interest earned for 7 year is 245. Please clarify me if it is wrong one.

Vikramjeet said:   1 decade ago
Hey friends it was said that when no principal amount given then take 100 =p so why we can't write this value.

Promish said:   1 decade ago
Hey friends I think the answer will be option A i.e. 35,

Explanation:

let r be 100,and it is increased by 2% for second case, so for the second case r will be 102.
I = Rs. 1750, t=7 yrs, r=100(let).

So P = (I*100)/r*t=(1750*100)/(100*7) = 250.

So use this P for the second case,and S.I will be,
I = (P*t*r)/100=(250*7*102)/100 = 1785.

So the increase will be = Rs.(1785-1750) = Rs.35.

Arjun said:   1 decade ago
Ans: B.

In the 1st case: S.I = 245R/2 (Let, R =Rate of Interest).

In the 2nd case: S.I = (245R/2+490/2).

So, in the 2nd case we have Rs.245 extra.

Rahul said:   1 decade ago
Let the rate of S.I is 100 (initially).

In the first case:

Sum = (S.I x 100)/(Rate of interest x time).

So sum = (1750 x 100)/(100 x 7) = 250.

In the 2nd case:

The interest rate is 2% more, so the interest rate is 102%.

S.I = (sum x time x Rate of interest)/100.

= (250 x 7 x 102)/100 = 1785.

So the gain in S.I is (1785-1750) = 35.

Thank You.


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