Mohan invested Rs. 800 in a scheme which is offering 53/4% per annum simple interest. After 2 years he withdrew the money from the scheme and invested the total amount in another scheme which gives an interest rate of R% p.a. simple interest. After 3 more years, he received Rs. 1214.40 as amount then what is the difference between the rates of interest?

Mohan invested Rs. 800 in a scheme which is offering 53/4% per annum simple interest. After 2 years he withdrew the money from the scheme and invested the total amount in another scheme which gives an interest rate of R% p.a. simple interest. After 3 more years, he received Rs. 1214.40 as amount then what is the difference between the rates of interest? Correct Answer 79/12%

The amount received from first investment = 800 + /100 = 800 + 212 = 1012

This amount is being invested in the second scheme for 3 years and the amount received back is Rs. 1214.40

∴ 1214.40 = 1012 + (1012 × R × 3)/100

⇒ 30.36R = 202.4

⇒ R = 20/3%

∴ The required difference = (53/4 – 20/3) = 79/12%

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