Dual profit

A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest 18%. He gains 14% on the whole. Find the quantity of 8% profit.

Correct answer:

m1 =  400 kg

Step-by-step explanation:

m=1000 kg r1=100%+8%=1+1008=1.08 r2=100%+18%=1+10018=1.18 r3=100%+14%=1+10014=1.14  m=m1+m2 r1 m1+r2 m2=r3 m  r1 m1+r2 (mm1)=r3 m 1.08 m1+1.18 (1000m1)=1.14 1000  0.1m1=40  m1=0.140=400=400 kg  m1=400   Verifying Solution:  m2=mm1=1000400=600 kg



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