in what time will rs 4000 lent at 3 percent per annum on simple interest earn as much interest at 5000 will earn in 5 years at 4 percent at 4 percent per annum on simple interest ​

Respuesta :

Answer:

It takes 16.67 years

Step-by-step explanation:

[tex]P_1 = 5000\\T_1 = 5\\R_1 = 4%\\\\\\\\I_1 = \frac{P_1R_1T_1}{100} = \frac{5000 \times 4 \times 5}{100} = 1000\\\\Amount_1 = 5000 + 1000 = 6000[/tex]

Find time taken for P = 4000 to be same as Amount₁ .

That is Amount₂ = Amount₁ = 6000

[tex]P_2 = 4000\\R_2 =3 \%\\T_2 = ?\\Amount_2 = 6000\\\\I_2 = \frac{4000 \times 3 \times T_2}{100} = 120 \ T_2\\[/tex]

[tex]Amount_2 = P_2 + I_2\\\\6000 = 4000 + 120 \ T_2\\\\6000 - 4000 = 120 \ T_2\\\\2000 = 120 \ T_2\\\\T_2 = \frac{2000}{120} = 16.67 \ years[/tex]