Mangoes are boughtat a rate of ₹10,000 perton. If one-third of the total mangoes are sold at a loss of 4%, then at what price (per ton) should the remaining mangoes be soldso as to gain 30% on the whole transaction?

Let, the rest mangoes should be sold at $$x$$

so In case of first = $$\dfrac{1}{3}rd$$

selling price = $$\dfrac {1}{3}\times 10000 \times\dfrac {96}{100}$$

$$\Rightarrow \dfrac{9600}{3} $$

$$\Rightarrow 3200 $$

total profit on whole transaction = 30 %

 so total selling price = $$10000\times \dfrac{130}{100} $$

$$\Rightarrow 10000\times \dfrac{130}{100}$$

$$\Rightarrow 13000 Ans $$

In case of rest $$\dfrac{2}{3}rd$$  selling price = 13000-3200 = 9800

hence  $$\dfrac{2}{3}x = 9800 $$ 

$$\Rightarrow x = 9800 \times \dfrac{3}{2}$$

$$\Rightarrow x = 14700 Ans $$