# CAT Practice : Averages, Ratios, Mixtures

When we mix two mixtures in a particular ratio, we get a third mixture. Given the third mixture how does one find the ratio in which they were mixed.

## Alligation

Q.29: Ram borrows Rs 4000 on simple interest from Shyam for a period of 4 years. He borrows a portion of amount at 2% interest and the remaining at 5%. If the interest Shyam earns is Rs 480, How much money did Ram borrow t 2% interest rate?
1. $\frac{8000}{3}$
2. $\frac{4000}{3}$
3. $3000$
4. $2000$

Choice A. $\frac{8000}{3}$

## Detailed Solution

Interest earned per year = Rs $\frac{480}{4}$ = Rs 120
Therefore, % earned per year = $\frac{120}{4000}$ = 3%

So, amount invested in 2% = $\frac{2}{3} * 4000 = \frac{8000}{3}$

Correct Answer: $\frac{8000}{3}$

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