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Nezavi [6.7K]
3 years ago
10

Mr eliot is extremely careful with his money. He recently invested part of his $150,000 life savings in gold bullion and the res

t in a bank he claims to have a nuclear blast proof safe. Mr elliot earned a 5% profit on his gold bullion investment and a 3% profit on the money in the bank. If he made a total profit of $5,500 from both investments, how much did he invest in gold bullion?
Mathematics
1 answer:
DIA [1.3K]3 years ago
3 0

Answer:

The amount invested in gold bullion by Mr. Eliot  =   $50,000

Step-by-step explanation:

Total amount of savings Me. Eliot ha s = $150,000

Let us assume the amount invested in gold bullion = $m

So, the amount invested in bank = $150,000 - m

Now, 5% on m = \frac{5}{100}  \times m = 0.05 m

So, the profit in gold bullion  =  0.05 m

and 3% on (150,000 -m)   = \frac{3}{100}  \times  (150,000 -m) = 0.03  (150,000 -m)

= 4,500 - 0.03 m

So, the profit in bank =  4,500 - 0.03 m

Now,  the total profit  = $5,500

⇒Profit from gold bullion + ban = $5,500

⇒0.05 m +  4,500 - 0.03 m = $5,500

or, 0.02 m = 1000

⇒ m = 1000/0.02 = 50,000

Hence, the amount invested in gold bullion  =  m = $50,000

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