₨ 3,102 was to be divided among A, B and C in the ratio of 3 : 4 : 5, but by mistake this was distributied in the proportion of \(\frac{1}{3}\) : \(\frac{1}{4}\) : \(\frac{1}{5}\) . How much more does A gain by mistake ?
Answer & explanation
Correct answer: option 3
A : B : C (A+B+C)
Actual 3 : 4 : 5 12 .........(i)
By mistake \(\frac{1}{3}\) : \(\frac{1}{4}\) : \(\frac{1}{5}\)
20 : 15 : 12 47 .........(ii)
(*Note: The total distributed amount should be same in every condition)
Therefore, (i) × 47 and (ii) × 12
A : B : C (A+B+C)
Actual:- 141 : xx : xx 12 × 47 = 564
By Mistake 240 : xx : xx 47 × 12 = 564
↓
Difference 99 : xx : xx ↓ ×5.5
↓ 3102 (given)
↓ ×5.5
Rs. 544.5/- (amount that A got in excess)
** "xx" ⇒ means no need to find the values, because there is no use of these values to find the answer.