Question 68

Divide 13,680 in three parts such that $$1^{st}$$ part is 3/$$5^{th}$$ of the third part and the ratio between $$2^{nd}$$ and $$3^{rd}$$ part is 4:7. How much is the first part?

Solution

Let the third part be x

Then , 1st part = $$\frac{3x}{5}$$ and 2nd part = $$\frac{4x}{7}$$

According to the question,

$$x+\frac{3x}{5}\frac{4x}{7}=13680$$

$$\frac{76x}{35}=13680$$

$$x=6300$$

Hence, 1st part = $$\frac{3\times\ 6300}{5}=3780$$

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