Math, asked by arjungoud12, 13 days ago

A certain sum in simple interest becomes 6500 in 3 years and 7500 in 5 years. Find the principal and rate of interest?


PLEASE ANSWER ME​

Answers

Answered by hs8898583
1

Answer:

Let the initial amount of money be P.

A=P(1+  

100

R

)  

T

    where R= Rate of Interest and T= Time period.

Amount after 3 years =6500

⇒6500=P(1+  

100

R

)  

3

⟶(I)

Amount after 6 years =10,562.5

⇒10562.5=P(1+  

100

R

)  

6

⟶(II)

From eq(I),

P

6500

=(1+  

100

R

)  

3

 

⇒(  

P

6500

)  

2

=(1+  

100

R

)  

6

⟶(III)

Putting eq(III) in eq(II)

10562.5=P(  

P

6500

)  

2

 

⇒10562.5=P×  

P  

2

 

(6500)  

2

 

 

⇒P=  

10562.5

(6500)  

2

 

 

             =4000

Hence, the initial amount of money is equal to Rs. 4000.

Step-by-step explanation:

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