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

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ranikashyab066 ranikashyab066 · Answer 1 · 2019-12-04T18:41:17+01:00

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 = [tex]\frac{5}{100} \times m = 0.05 m[/tex]

So, the profit in gold bullion = 0.05 m

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

= 0.03 (150,000 -m) [/tex]

= 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