Fill in the blanks.

(i) $P = \frac{100 \times (. . . . . .)}{R \times T}$
(ii) $R = \frac{100 \times SI}{(. . . . . .) \times T}$
(iii) At (......)% per annum simple interest a sum doubles itself in 10 years.
(iv) At simple interest a sum becomes $\frac{6}{5}$ of itself in $2 \frac{1}{2}$ years. The rate of interest is (......)% per annum.

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Solution

$\begin{array}{l} (i) P = \frac{100 \times S . I .}{R×T} \\ (ii) R= \frac{100×S . I .}{(P)×T} \end{array} (iii) 10 % Let the sum be Rs x . Amount = Rs 2 x S . I . = A - P = 2 x - x = Rs x Let the rate of inetrset be R % . Time = 10 yrs S . I . = \frac{P \times R \times T}{100} \Rightarrow x = \frac{x \times R \times 10}{100} \Rightarrow R = \frac{100}{10} \Rightarrow R = 10 (i v) 8 % Let the sum be Rs x . Amount = Rs \frac{6}{5} x S . I . = A - P = \frac{6}{5} x - x = Rs \frac{x}{5} Let the rate of inetrset be R % . Time = 2.5 yrs S . I . = \frac{P \times R \times T}{100} \Rightarrow \frac{x}{5} = \frac{x \times R \times 2.5}{100} \Rightarrow R = \frac{100}{2.5 \times 5} \Rightarrow R = 8$

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Similar questions

Q. Write 'T' for true and 'F' for false

(i) Simple interest on Rs x for x years is Rs x. Then, the rate of interest is x% per annum.
(ii) Rate =

\frac{100 \times SI}{P \times T}

.
(iii) A sum doubles itself at simple interest at 10% per annum in 10 years.
(iv) Simple interest on Rs 1000 at 5% per annum for 73 days is Rs 10.

Q. At what rate per cent per annum simple interest will a sum double itself in

10

years?

At simple interest a sum becomes $\frac{49}{40}$ of itself in $2 \frac{1}{2}$ years. The rate of interest per annum is
(a) $7 %$
(b) $8 %$
(c) $12 %$
(d) $9 %$

At what rate of simple interest per annum will a sum double itself in 8 years?

Q. At what rate percent per annum simple interest will a sum of money double itself in

6

years?

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Fill in the blanks. (i) P=100×(......)R×T (ii) R=100×SI(......)×T (iii) At (......)% per annum simple interest a sum doubles itself in 10 years. (iv) At simple interest a sum becomes 65 of itself in 212 years. The rate of interest is (......)% per annum.