Question

The difference between SI and CI on a certain sum is ₹64 for 2 years 8% per annum. Find the sum.​

Answer 1

Answer:

=Rs.10000

Step-by-step explanation:

Let the sum be Rs.P

Time =2year

Rate=8%

S.I for 2 years=  P×8×2/100= 4p/25

C.I for 2 years=[P(1+  

100

8

​  

)  

2

]−P

⇒[P×  

100

108

​  

×  

100

108

​  

]−P

⇒  

625

729P

​  

−P=  

625

104P

​  

 

According to the question

⇒  

625

104P

​  

−  

25

4P

​  

=64

⇒  

625

104P−100P

​  

=64

⇒4P=64×625

⇒P=  

4

64×625

​  

=Rs.10000

Answer 2

Answer:

10000

Step-by-step explanation:

By using a short cut method d*100*100/r*r

substitute the values d=64, r=8

u will get the ans as

64*10000/64=10000