Seema wants to invest Rs. $20, 000$ in two types of bonds.She earns $12 %$ on the first type and $15 %$ on the second type.Find her investment in each if her total earnings is Rs. $2850.$ Find how much she invests at each type of bond.

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Solution

Let Seema invest Rs $x$ first type of bonds and Rs. $20, 000 - x$ on the second type.

Interest on first type of bonds $= \frac{x \times 12}{100}$

Interest on second type of bonds $= \frac{(20, 000 - x) \times 15}{100}$

Her total earnings $=$ Rs. $2850$

$\Rightarrow \frac{12 x}{100} + \frac{(20, 000 - x) \times 15}{100} = 2850$

$\Rightarrow 12 x + 3, 00, 000 - 15 x = 2, 85, 000$

$\Rightarrow - 3 x = 2, 85, 000 - 3, 00, 000$

$\Rightarrow - 3 x = - 15, 000$

$\Rightarrow x = \frac{- 15, 000}{- 3} = 5, 000$

Investment on first type of bonds $=$ Rs. $5000$

Interest on second type of bonds $=$ Rs. $20, 000 -$ Rs. $5000 =$ Rs. $15, 000$

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Seema wants to invest Rs.20,000 in two types of bonds.She earns 12% on the first type and 15% on the second type.Find her investment in each if her total earnings is Rs.2850.Find how much she invests at each type of bond.

Seema wants to invest Rs. $20, 000$ in two types of bonds.She earns $12 %$ on the first type and $15 %$ on the second type.Find her investment in each if her total earnings is Rs. $2850.$ Find how much she invests at each type of bond.