Question

the simple interest on a certain sum for 3 1/2 years at 7%p.a. is ₹225 more than the simple interest on the same sum for 4 years at 5%p.a. Find the sum
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Answer 1

ANSWER

It is given that

SI for 3 years = 225

SI for 2 years = (225×2)/3=150

CI for 2 years = 153

So the difference = 153 - 150 = 3

Here 3 is interest on one year i.e. 75 for one year

We know that

Rate =(SI×100)/(P×t)

Substituting the values

=(3×100)/(75×1)

=4%

SI for 3 years = 225

Rate = 4% p.a.

So Principal = (SI×100)/(R×t)

Substituting the values

=(225×100)/(4×3)

=1875

Answer 2

Answer:

ANSWER

It is given that

SI for 3 years = 225

SI for 2 years = (225×2)/3=150

CI for 2 years = 153

So the difference = 153 - 150 = 3

Here 3 is interest on one year i.e. 75 for one year

We know that

Rate =(SI×100)/(P×t)

Substituting the values

=(3×100)/(75×1)

=4%

SI for 3 years = 225

Rate = 4% p.a.

So Principal = (SI×100)/(R×t)

Substituting the values

=(225×100)/(4×3)

=1875

Explanation: