# A sum of money is to be divided among A,Band C in the ratio 2:3:5.The smallest share amounts to \$600.Calculate the total sum of money to be shared.

## To find the total sum of money to be shared, we need to determine the value of the smallest share in the given ratio.

Let's assume the smallest share is represented by the value "x".

According to the given ratio, the share of A:B:C is 2:3:5.

Since the smallest share amounts to \$600, we can set up the following equation:

2x = \$600

To solve for x, we divide both sides of the equation by 2:

x = \$600 / 2 = \$300

Now that we know the value of x, we can find the total sum of money to be shared by summing up the individual shares of A, B, and C.

A's share = 2x = 2 * \$300 = \$600
B's share = 3x = 3 * \$300 = \$900
C's share = 5x = 5 * \$300 = \$1500

Total sum of money to be shared = A's share + B's share + C's share
= \$600 + \$900 + \$1500
= \$3000

Therefore, the total sum of money to be shared is \$3000.

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2/10 s = 600