A merchant bought 60 sheep at ₹120 per sheep. He sold 40 of them at ₹150 each. Another 10 of the sheep died. What should be the selling price of each remaining sheep, if he wants a total profit of ₹800?

A merchant bought 60 sheep at ₹120 per sheep.

Total cost price of all 60 sheep = $$120\times\ 60$$ = ₹7200    Eq.(i)

He sold 40 of them at ₹150 each.

Selling price of 40 sheep = $$150\times\ 40$$ = ₹6000    Eq.(ii)

Another 10 of the sheep died.

Selling price of 10 died sheep = ₹0    Eq.(iii)

Let's assume the Selling price of the remaining 10 sheep is 'y'.     Eq.(iv)

if he wants a total profit of ₹800.    Eq.(v)

Eq.(i)+ Eq.(v) =  Eq.(ii)+Eq.(iii)+Eq.(iv)

₹7200+₹800 = ₹6000+₹0+y

₹8000 = ₹6000+y

y = ₹8000-₹6000

= ₹2000

Selling price of the remaining 10 sheep = ₹2000

Selling price of each remaining sheep = $$\frac{2000}{10}$$ = ₹200