Question

find the principal when :
S.I = 980
Rate= 8%
Time=
$3 \times \frac{1}{2}$
years

​

Answer 1

• Principal is 3500.

Step-by-step explanation:

To find:-

• Principal.

Solution:-

Given that,

S.I or simple interest is 980 .

Rate of interest is 8%.

Time is $\sf 3 \cfrac{1}{2}$ years

Conversion:-

Time = $\sf 3 \cfrac{1}{2}$ years

= 7/2 years

Total time = 7/2 years

S.I = Principal×Rate×time

$\longrightarrow \sf 980 = \cfrac{8\times P \times 7}{100 \times 2}$ [Here, P is principal]

$\longrightarrow \sf 980 = \cfrac{56}{200} \times P$

$\longrightarrow \sf 980 \times 200 = 56 \times P$

$\longrightarrow \sf 196000 = 56 \times P$

$\longrightarrow \sf \cfrac{196000}{56} = P$

$\longrightarrow \sf 3500 = P$

Or, P = 3500

Therefore,

Principal is 3500.