A person divided a certain sum between his three sons in the ratio 3 : 4 : 5. Had he divided the sum in the ratio $$\frac{1}{3}:\frac{1}{4}:\frac{1}{5},$$   the son, who got the least share, would have got Rs. 1,188 more. The sum in (in Rs.) was:

Solution (By Examveda Team)

In first case
→ 3 : 4 : 5 ⇒ 12 × 47
Second case
→ $$\frac{1}{3}:\frac{1}{4}:\frac{1}{5}$$
⇒ 20 : 15 : 12
⇒ 47 × 12
First case → 141 : 188 : 235
Second case → 240 : 180 : 144
(240 - 141) units → Rs. 1188
99 units → Rs. 1188
1 unit → Rs. 12
Total income = 564 units
= 564 × 12 = 6768