Question

A certain amount wad to be distribute between x y snd z in the ratio of 1 :2:3.At the time of distribution amount distributed wrong in the ratio of 5:4:6 due to which x got 305 rs more. Find the actual amount get by z.

Answer 1

Answer:

915

Step-by-step explanation:

as by the correct ratio x would get

$\frac{1}{6} \times amount$

by wrong ratio x got

$\frac{5}{15} = \frac{1}{3} \times amoumt$

difference in x's share is 305.

therefore

$\frac{1}{3 } \times amount - \frac{1}{6} \times amount = 305 \\ ( \frac{1}{3} - \frac{1}{6} ) \times amount = 305 \\ \frac{1}{6} \times amount = 305 \\ amount = 305 \times 6 \\ amount \: = 1830$

amount got By z =1/2 ×1830= 915