Question

On his deathbed, a father called upon his three sons and told them to distribute all his assets worth Rs. 52,500 in the ratio of 1/15 : 1/21 : 1/35 amongst themselves. Find the biggest share amongst the three portions.

Answer 1

Answer:

   x/15 + x/21 + x/35 = 52500

⇒ 14x + 10x + 6x = 52500 × 210

⇒ 30x = 11,025,000‬

∴ x = 367,500‬

∴ Biggest Share = ₹ (367,500‬/15)

                           = ₹ 24500                                   Ans.

Answer 2

Answer:

The biggest share among the given three portion is $Rs. 24500$.

Step-by-step explanation:

The given ratios are : $\frac{1}{35} :\frac{1}{21} :\frac{1}{15}$

This becomes : $21*15:35*15:35*21$

⇒ $315:525:735$

Simplifying it further : $3 : 5:7$

From this we can see that the biggest share is : $\frac{7}{3+5+7} * 52500$

$=24500$

Hence, the biggest share among the given three portion is $Rs. 24500$.