Hey dear pls solve this question hurry!!
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(d) 1800
Hello. Hope this helps. All the best!
Step-by-step explanation:
Let x be the capital invested.
One-fifth at 5%
=> annual interest on this part = 5% of x / 5 = 0.05 x / 5 = x / 100
One-sixth at 6%
=> annual interest on this part = 6% of x / 6 = 0.06 x / 6 = x / 100
The "rest" is 1 - 1/5 - 1/6 = ( 30 - 6 - 5 ) / 30 = 19 / 30,
so 19/30 of the capital x is invested at 10%
=> annual interest on this part = 10% of 19x/30 = 19x / 300
Total interest = 150
=> x / 100 + x / 100 + 19x / 300 = 150
=> 3x + 3x + 19x = 150 × 300 = 45000
=> 25x = 45000
=> x = 1800
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