Question

A sum of Rs.850 is divided into three parts, proportional to 1/3:2/5:3/7. Find the value of the first part. Options:Rs.242.75,Rs.269,Rs.280.50 or Rs.243.85

Answer 1

Let the common multiple be x

So the parts -
x/3 , 2x/5 , 3x/7

So,
x/3 + 2x/5 + 3x/7 = 850

Making the denominator common !

35x/105 + 42x/105 + 45x/105 = 850

122x/105 = 850
x = 850 × 105/122 ≈ 731.55

So, first part = x/3 = 731.55/3 = Rs.243.85