Question

Hey dear pls solve this question hurry!!

Answer 1

Answer:

(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