Question

a shopkeeper bought 20 quintals of rice at ₹800 per quintal and sold 12 quintals at a profit of 10%. at what rate should he sell the remaining rice so as to make an overall profit of 12% on the whole transaction ?

Answer 1

$\huge\bold\orange{\underline{Solution:}}$

$\bold\green{\underline{Given:}}$

The cost price of per quintal=Rs.800

The cost price of 20 quintal=800×20=Rs.16000

$\bold\red{\underline{Find:}}$

• The other profit%

The cost price of 12 quintal=800×12=Rs.9600

The profit on selling=10%

• Using formula here

$\bold\purple{\boxed{SP=\frac{100+G\%}{100}*CP}}$

⟹Selling price=110/100×9600

⟹Selling price=11×960

⟹Selling price=10560

Given in the question to make an overall profit of 12%

⟹Total cost price=16000

⟹Total profit on selling=12%

⟹Total selling price=112/100×16000

⟹Total selling price=112×160

⟹Total selling price=Rs.17920

Now ,find the remaining selling price

⟹Remaining selling price=Total selling price-The selling price of 12 quintal

⟹Remaining selling price=17920-10560

⟹Remaining selling price=Rs.7360

Now find the remaining coat price

⟹Remaining cost price=800×8

⟹Remaining cost price=6400

• Using formula again here

$\bold\orange{\boxed{P\%=\frac{SP-CP}{CP}*100}}$

⟹Profit%=7360-6400/6400×100

⟹Profit%=960/6400×100

⟹Profit%=960/64

⟹Profit%=15%

Hence,

He should sell the remaining rice at 15% profit to make overall profit of 12% on whole transaction.

$\large{\boxed{\red{\rm{AnswEr:15\%}}}}$