A milkman allows a discount of 16% to his customers and stills gains 20%. Find the marked price of a container of milk  which costs the shopkeeper Rs. 1190

Correct option is C

Given:

Discount allowed by the milkman: 16%.

Profit gained by the milkman: 20%.

Cost price of the container for the shopkeeper: ₹1190.

Formula Used: ​

Selling Price = Cost Price $$\times\left(1+ \frac{Profit \%}{100}\right)$$​​

Solution: 

Gain 20% so,

Selling Price = $$1190 \times \frac{120}{100} = ₹ 1428$$ 

Now, Marked Price at 16% discount;

1428 = Marked Price $$\times \frac{100 - 16}{100}$$ 

Marked Price = $$\frac{1428}{84}\times 100 = ₹1700$$​​

The marked price of the container of milk is ₹1700 

Alternate Solution: ​

​$$\frac{MP}{CP} = \frac{100 + Profit\%}{100 - Discount\%}$$ 

$$\frac{MP}{1190} = \frac{100 + 20}{100 -16} \\ \ \\ MP = 120 \times \frac{1190}{84} = ₹1700$$​​