Ishita derive an annual income of, Rs 688.25 from Rs 10000 invested partly at 8% p.a, and partly at 5% p.a. simple interest. What is the ratio of her money invested at 5% to the investment at 8%.

114 : 165

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51 : 58

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97 : 113

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149 : 251

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Solution

The correct option is C $149 : 251$
Let money invested at $5 %$ p.a be $x$
$⟹$ money invested at $8 %$ \p.a be $(10, 000 - x)$
$S I = \frac{P \times r \times t}{100}$
$⟹ \frac{x \times 5 \times 1}{100} +$ $\frac{(10000 - x) \times 8 \times 1}{100} = 688.25$
$⟹ x = 3725$
and $10000 - x = 6275$
$\frac{x}{10000 - x} = \frac{3725}{6275} = 149 / 251 = 149 : 251$

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Ishita derive an annual income of, Rs 688.25 from Rs 10000 invested partly at 8% p.a, and partly at 5% p.a. simple interest. What is the ratio of her money invested at 5% to the investment at 8%.

The correct option is C 149:251Let money invested at 5%p.a be x⟹ money invested at 8% \p.a be(10,000−x)SI=P×r×t100⟹x×5×1100+(10000−x)×8×1100=688.25⟹x=3725and 10000−x=6275x10000−x=37256275=149/251=149:251