Question

Harsh has 15 2/3 kg of sugar . he sold 7 5/6 kg to kartik . how much sugar is left with him ?​

Answer 1

Let merchant has bought sugar at rate of re.1 per kg.
so total C.P. is Rs.100.
Now he sell x kg at profit of 7% and (100-x) kg at profit of 17%.
C.P. of x kg is Rs.x.
So S.P. of x kg should be x + x*7/100 = 1.07x.
And
C.P. of (100-x) kg is Rs.(100-x).
S.P. of (100-x) kg should be (100-x) + (100-x)*17/100 =1.17*(100-x) = (117-1.17x).
Total S.P.= 1.07x + (117-1.17x)= 117-0.1x.
Since Total C.P. is rs.100, So S.P. at 10% whole gain will be Rs.110.
Equating S.P.
117-0.1x=110
0.1x=7
x=70 kg. which will be sold at 7% gain.
So 100-70= 30 kg will be sold at 17% ga
in.
So Ans is 30kg. 

Answer 2

15 2/3=47/3

7 5/6=47/6

Harsh has =47/3 kg of sugar

He sold to Kartik =47/6 kg of sugar

Sugar left with him = 47/3-47/6

Lcm of 3 and 6 is6

47/3=47×2/3×2=94/6

47/6=47×1/6×1=47/6

94/6-47/6=47/6

Hope it is helpful.