If ₹1,313 is divided into three parts proportional to $$\frac{1}{3} : \frac{3}{5} : \frac{3}{4}$$, then the second part is _________.​

Correct option is A

Given:

₹1,313 is divided in the ratio =  $$\frac{1}{3} : \frac{3}{5} : \frac{3}{4}$$, ​

Solution:

Let the parts be x, y, z respectively.

Then, x : y : z = $$\frac{1}{3} : \frac{3}{5} : \frac{3}{4}$$​, ​

First, find a common multiple for the denominators: 3, 5, and 4.

LCM of 3, 5, 4 = 60.

So, x : y : z = 20 : 36 : 45.

Sum of parts = 20 + 36 + 45 = 101.

Total amount = ₹1,313.

=> y = $$\frac{36}{101} \times 1313$$​​

=> y = ₹468

Thus, the correct answer is (A).

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