Question

What sum will amount to rupees 5200 in 6 years at the same rate of simple interest at which rupees 1706 amounts to rupees 3412 in 20 years

Answer 1

Step-by-step explanation:

$\star$ To find rate %

$\implies$$R={\Large\frac{SI×100}{P×T}}$

$\implies$$R={\Large\frac{1706×100}{1706×20}}$

$\implies$$R=5\%$

$\star$ To find Principal :

let the principal be ₹100

$\implies$$SI={\Large\frac{PTR}{100}}$

$\implies$$SI={\Large\frac{100×6×5}{100}}$

$\implies$$SI=30$

$\implies$$A=P+SI$

$\implies$$A=100+30=130$

Now, if Amount is 130, principal is 100

if Amount is 5200, principal is P

By Direct variation,

$\implies$$P×130=5200×100$

$\implies$$P={\Large\frac{5200×100}{130}}$

$\implies$$\boxed{Principal=4000}$

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