Question

In how many years , ₹150 will produce the same simple interest at 6% as ₹800 produce in 2 years at 4½% ?

Guys please explain with steps... Please​​

Answer 1

☯ GIVEN :

• Principle (1) :- ₹150

• Rate (1) :- 6%

• Principle (2) :- ₹800

• Time (2) :- 2 years

• Rate (2) :- 4½%

☯ TO FIND :

• Time taken in first situation.

☯ FORMULA REQUIRED :

• $\bigstar{ \underline{\boxed{\red{ \bf{SI = \dfrac{P \times R \times T}{100}}}}}} \bigstar$

• $\bigstar{ \underline{\boxed{\red{ \bf{T= \dfrac{SI \times 100}{P \times R}}}}}} \bigstar$

☯ SOLUTION :

In Second Situation :

Substituting the values in first formula :

$\longmapsto {\sf {\dfrac{800 \times 2 \times 9}{100 \times 2}}}$

$\longmapsto {\sf { \dfrac{\cancel{800} \times 2 \times 9}{\cancel{100} \times 2} }}$

$\longmapsto {\sf {\dfrac{8 \times 2 \times 9}{2}}}$

$\longmapsto {\sf {\cancel{\dfrac{144}{2}} = 72 }}$

In First Situation :

Substituting the values in Second Formula :

$\longmapsto \sf T = \dfrac{72 \times 100}{150 \times 6}$

$\longmapsto \sf T = \cancel{ \dfrac{7200}{900}}$

$\longmapsto \huge {\underline{\boxed{\green{\bf {T= 8 \: years}}}}}$

$\huge{\pink{\therefore}}$ Time taken in first situation is 8 years.