Question

Rama sold two cameras for Rs 4580 each. On selling one camera he lost 15%.On selling the other he gained 15%. Find his overall gain or loss percent in the whole transaction.

Answer 1

solution,

1st condition,

SP=Rs.x(let)

loss%=15%

CP1=100×SP/100-L%

     =100×x/100-15

      =100x/85

      =1.176x

2nd condition,

SP=Rs.(4580-x)

profit%=15%

CP2=100×SP/100+P%

    =100(4580-x)/100+15

     =100(4580-x)/115

      =0.87(4580-x)

     =3982.609-0.87x

now,

  CP1=CP2

 or,1.176=3982.609-0.87x

 or,0.87x=3982.609-1.176

or,0.87x=3981.433

 or,x=3981.433/0.87

or,x=4576.360

then putting the value of x in CP1

1.176x=1.176×4576.36=5381.799

thus CP=5381.799

hereCP>SP

Thus it is loss.

now

loss%=CP-SP/CP×100%

   =5381.799-458/5381.799×100%

   =801.799/5381.799×100%

   =14.898%

THEREFORE,HIS LOSS PERCENT IS 14.898%.

                      ✌✌