Divide 13.680 in three parts such that 1st 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?
Divide 13.680 in three parts such that 1st 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?
A3780
B6300
C3600
D4800
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Correct answer is: 3780
Explanation:
Let the 3rd part be ‘x’.
\(⇒\text{ 1st part} = \frac{3x}{5}\)
\(⇒ \text{2nd part} = \frac{4x}{7}\)
\(13680 = \frac{3x}{5} + \frac{4x}{7} + x\)
\(⇒ 13680 = \frac{76x}{35}\)
⇒ x = 6300
\(\text{1st part} = 3 \times \frac{6300}{5} = 3780\)
∴ The first part = 3780
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