Question

find the principal that will yield as interest of Rs 162 in 3 year at 4% annum​

Answer 1

Given :-

• S.I. = Rs. 162
• Time = 3 years
• Rate = 4%

To Find :-

• Principle that will yield as interest of Rs. 162

Solution :-

S.I. = Rs. 162

Time = 3 years

Rate = 4%

$\huge{\boxed{\purple{S.I. \:=\: \frac{P×R×T}{100}}}}$

Where,

• S.I. = Simple interest
• T = Time
• R = Rate
• P = Principle

Substituting the value in the above formula

$\mapsto{162 \:=\: \frac{P×4×3}{100}}$

$\mapsto{162 \:=\: \frac{P×12}{100}}$

$\mapsto{162 \times 100 \:=\: 12P}$

$\mapsto{16200\:=\:12P}$

$\mapsto{P\:=\: \frac{16200}{12}}$

$\mapsto{P\:=\: \frac{\cancel{16200}}{\cancel{12}}}$

$\huge{\boxed{\mathfrak{\red{P\:=\:Rs.\:1350}}}}$

∴ The principle that will yield as interest of Rs. 162 in 3 year at 4% anum is Rs. 1350