Question

A man bought goods worth ₹4500 and sold 1/3 of the goods at a loss of 10%.At what gain percent should he sell the remaining goods so as to gain 20% on the whole transaction?

Answer 1

here's the answer....there is no need any c.p

Answer 2

Answer: There is 35% gain on remaining goods.

Step-by-step explanation:

Since we have given that

Cost of goods = Rs. 4500

Loss on $\dfrac{1}{3}$ of the goods = 10%

Gain on whole transaction = 20%

We will use "Mixture and Allegations:

     Loss                 Gain

      -10                     x

                   20

--------------------------------------------

      x-20        :          20+10

      x-20        :             30

Since we have given that

$\dfrac{x-20}{30}=\dfrac{1}{2}\\\\2(x-20)=30\\\\2x-40=30\\\\2x=30+40\\\\2x=70\\\\x=\dfrac{70}{2}\\\\x=35$

Hence,  there is 35% gain on remaining goods.