Question

On what principal, the interest is ₹1750 for 7 years at 5% per annum SI?

plz give answer in full statement with symbols and formulas.​

Answer 1

Answer:

Principal=p(let)

Time(t)=7yrs

Rate of interest() =5%p.a

Simple interest p't'r/100

=p7°5/100

ATP;

P"7*5/100=1750

Or, p*7°5-1750"100

Or, p=1750100/7*5

Or, p=5000

Ans; The principal is Rs 5000.

Answer 2

Answer:

Given :

• A simple interest on ₹1750 for 7 years at 5% per annum.

To Find :-

• What is the principal ?

Solution :-

Let,

$\mapsto \bf Principal =\: x$

Given :

• Simple Interest (S.I.) = ₹1750
• Rate of Interest (R) = 5% per annum
• Time Period (T) = 7 years

According to the question by using the formula we get,

$\implies \sf\boxed{\bold{S.I. =\: \dfrac{P \times R \times T}{100}}}$

where,

• S.I. = Simple Interest
• P = Principal
• R = Rate of Interest
• T = Time Period

So, by putting those values we get,

$\implies \sf 1750 =\: \dfrac{x \times 5 \times 7}{100}$

$\implies \sf 1750 =\: \dfrac{x \times 35}{100}$

$\implies \sf 1750 =\: \dfrac{35x}{100}$

By doing cross multiplication we get,

$\implies \sf 35x =\: 1750(100)$

$\implies \sf 35x =\: 1750 \times 100$

$\implies \sf 35x =\: 175000$

$\implies \sf x =\: \dfrac{175000}{35}$

$\implies \sf\bold{x =\: 5000}$

Hence, the required principal will be :

$\dag$ Principal :

$\dashrightarrow \sf Principal =\: x$

$\dashrightarrow \sf\bold{\underline{Principal =\: 5000}}$

$\therefore$ The principal is ₹5000 .