Question

A person earms 15% on an investment but loses 10% on another investment. If the ratio of the two investments be 3: 5. What is the gain or loss on the two investments taken together?



please give step by step​

Answer 1

Answer:

The loss on the two investments is 0.05 x.

Step-by-step-explanation:

We have given that,

Earning on first investment = 15 % of first investment

Loss on second investment = 10 % of second investment

From the given condition,

The ratio of two investments is 3 : 5.

Let the common multiple be x.

First investment = 3x

Second investment = 5x

Now,

Earning on first investment = 15 % of first investment

⇒ Earning = ( 15 / 100 ) * 3x

⇒ Earning = ( 3 / 20 ) * 3x

⇒ Earning = 9x ÷ 20

⇒ Earning = 0.45 x

Now,

Loss on second investment = 10 % of second investment

⇒ Loss = ( 10 / 100 ) * 5x

⇒ Loss = ( 1 / 10 ) * 5x

⇒ Loss = 2x ÷ 5

⇒ Loss = 0.4 x

Now,

Net loss = Earning - Loss

⇒ Net loss = 0.45 x - 0.4 x

⇒ Net loss = 0.05 x

∴ The loss on the two investments is 0.05 x.

Answer 2

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