Answer:

Given: Rate of interest = 17%

Time = 2 years

The difference between CI and SI = Rs. 433.50 Formula used: Simple interest = P × R% × T

Calculation: Let the principal be Rs. x. SI = P × R% × T ⇒ SI = x × 17% × 2 ⇒ SI = x × 17/100 × 2 ⇒ SI = 34x/100 ⇒ SI = 0.34x In the case of CI: 1st year CI = P × R% × T ⇒ 1st year CI = x × 17% × 1 ⇒ 1st year CI = 17x/100

⇒ 1st year CI = 0.17x Amount after 1st year

= P + CI ⇒

Amount = x + 0.17x ⇒ Amount = 1.17x

2nd year CI = 1.17x × 17% × 1 ⇒ 2nd year CI = 0.1989x Total CI = 1st year CI + 2nd year CI

⇒ CI = 0.17x + 0.1989x

⇒ CI = 0.3689x Required difference = CI – SI

⇒ 433.50 = 0.3689x – 0.34x

⇒ 433.50 = 0.0289x ⇒ x = 433.50/0.0289

⇒ x = Rs. 15000 ∴ The sum is Rs. 15000.

hope it will help youuuuuu

simple interest at 17% on a sum of money for 2 years (compounded annually is ` 433.50 then the compound interest (in `) is

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