Question

If at same rate of interest in 2years the simple interest is 40rupee and compound interest is 41rupee , then the principal in rupees is​

Answer 1

Answer:

I will say follow me

Step-by-step explanation:

Simple Interest, Isi=PTR%

⇒40=2PR%−−−−−(1)

⇒PR%=20−−−−−−−(2)

Compound Interest, Ici=P(1+R%)T–P

Ici=P[(1+R%)T–1]

⇒41=P[1+2R%+(R%)2−1]

⇒41=P[2R%+(R%)2]

⇒41=2PR%+PR%R%

⇒41=40+20R%; from (1) and (2)

⇒20R%=1

⇒R%=120

R%=5

To find P eqation (1)is enough, PR%=20

P=205%

P=400