At what rate of simple interest per annum will a sum become $7/4$ of itself in 4

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Question

At what rate of simple interest per annum will a sum become $7/4$ of itself in 4 years ?

Options:

A . 18$1/4$%

B . 18%

C . 18$1/2$%

D . 18$3/4$%

Answer: Option D
Answer: (d)Let the principal be xPrincipal + SI = ${7x}/4$SI = ${7x}/4 - x = {3x}/4$Rate = ${SI × 100}/\text"Principal × Time"$= ${3x × 100}/{4 × x × 4} = 18{3}/4%$Using Rule 3,R = ${(7/4 - 1)}/4 × 100%$= $3/16$ × 100%= $75/4% = 18{3}/4%$

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