yeats an28. A certain sum of money at simple interest amounts to Rs. 1

1.	yeats an28. A certain sum of money at simple interest amounts to Rs. 1012 inRs. 1067.20 in 4 years. The rate of interest per annum is
Answer» Let Sum of money = P, Rate of Interest = R, Simple Interest = SI We know, SI = PRT/100 For T = 2 1/2 years1012 = P + PR5/2001012 = P(1 + R/40)........(1) For T = 4 years1067.20 = P + PR4/1001067.20 = P(1 + R/25)........(2) Now, 1012/ = (1 + R/40)/1067.20 (1 + R/25) 253/266.8 = 25(40 + R)/40(25 + R 25340(25 + R) = 266.825(40 + R) 2538(25 + R) = 266.85(40 + R) 50600 + 2024R = 53360 + 1334R 2024R - 1334R = 53360 - 50600 690R = 2760 R = 2760/690 = 4% Therefore, Rate of Interest = 4% make a o one I ok k

yeats an28. A certain sum of money at simple interest amounts to Rs. 1012 inRs. 1067.20 in 4 years. The rate of interest per annum is

Answer»

Let Sum of money = P, Rate of Interest = R, Simple Interest = SI

We know, SI = P*R*T/100

For T = 2 1/2 years1012 = P + P*R*5/2001012 = P(1 + R/40)........(1)

For T = 4 years1067.20 = P + P*R*4/1001067.20 = P(1 + R/25)........(2)

Now, 1012/ = (1 + R/40)/1067.20 (1 + R/25)

253/266.8 = 25(40 + R)/40(25 + R

253*40(25 + R) = 266.8*25(40 + R)

253*8(25 + R) = 266.8*5(40 + R)

50600 + 2024R = 53360 + 1334R

2024R - 1334R = 53360 - 50600

690R = 2760

R = 2760/690 = 4%

Therefore, Rate of Interest = 4%

make a o one I ok k