Question

On her deathbed, a grand mother called upon his three grand sons and told them to distribute all her assets worth Rs. 52,500 in the ratio of 1/35 : 1/21 : 1/15 amongst themselves. Find the smallest share amongst the three portions ?
A) Rs. 5422
B) Rs. 10,500
C) Rs. 12,800
D) Rs. 15,000

Answer 1

B) Rs. 10,500. It was given to the one having 1/35th share.

Answer 2

Answer:

Rs.10500

Step-by-step explanation:

We are given that a grand mother called upon his three grand sons and told them to distribute all her assets worth Rs. 52,500 in the ratio of 1/35 : 1/21 : 1/15

Ratio distribution : $21 \times 15 : 15 \times 35 : 35 \times 21$

                              = $315 : 525 : 735$

                               =$3 : 5 : 7$

Sum of ratios = 3+5+7=15

The ratio of smallest of part = $\farc{3}{15}$

So, Smallest share =  $\frac{3}{15} \times 52500$

                                 = $10500$

Hence the smallest share among st the three portions is Rs.10500