Question

Suppose you have 12000 to save you have to save some
amount at 10% and rest at 15%. How much should be sared at
each rate to yield 12% on the total amount saved?
(a) 7000, 3000 (b) 7200, 4800 (c) 6800, 4800 (d) none
​

Answer 1

Step-by-step explanation:

Let x be the which is saved in the interest of 10%,

⇒ The remaining which is saved in the interest of 15% = ( 12000 - x )

The total interest = The interest on the amount of x + The interest on the amount of (12000 - x)

=

According to the question,

The total interest = 12 % of 12000 = 0.12 of 12000 = 1440

⇒  

⇒

⇒

⇒

Thus, the amount invested at the interest of 10% = x = 7200 rupees

And, the amount invested at the interest of 15% = 12000 - 7200 = 4800 rupees.

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