Concept -
Ratio;a1;:b1;:c1=aLCM;of;(a,b,c);:;bLCM;of;(a,b,c);:;cLCM;of;(a,b,c);
Calculation:
Rs. 5451 was to be divided among A, B and C in the ratio of 32:54:65
LCM of (3, 5, 6) = 30
Therefore Rs 5451 was to be divided among A, B, and C in the ratio of 32:54:65;or360;:5120;:6150
⇒ 20 : 24 : 25
Share of A when Rs 5451 was to be divided among A, B, and C in the ratio of 20 : 24 : 25 =20+24+2520×5451
= (20/69) × 5451
= Rs 1580
Share of B when Rs 5451 was to be divided among A, B, and C in the ratio of 20 : 24 : 25 =20+24+2524×5451
= (24/69) × 5451
= Rs 1896
Share of C when Rs 5451 was to be divided among A, B, and C in the ratio of 20 : 24 : 25 =20+24+2525×5451
= (25/69) × 5451
= Rs 1975
But by mistake it was divided in the ratio of 23:45:56
LCM of (2, 4, 5) = 20
Therefore Rs 5451 was to be divided among A, B, and C in the ratio of 23:45:56;or260;:4100;:5120
⇒ 30 : 25 : 24
Share of A when Rs 5451 was to be divided among A, B, and C in the ratio of 30 : 25 : 24 =30+25+2430×5451
= (30/79) × 5451
= Rs 2070
Share of B when Rs 5451 was to be divided among A, B, and C in the ratio of 30 : 25 : 24 =20+24+2525×5451
= (25/79) × 5451
= Rs 1725
Share of C when Rs 5451 was to be divided among A, B and C in the ratio of 30 : 25 : 24 =20+24+2524×5451
= (24/79) × 5451
= Rs 1656
C = 1975 -1656 = 319
So, C got Rs 319 less.
Hence, option (4) is the correct answer.