Question

On every Friday, a veggie store owner offers a discount of 30% on potatoes, which he sells for 0.90 dollars per pound on other days. The store also sells carrots for 3.50 dollars per pound. If a customer buys 2 pound of carrots and p pounds of potatoes then the total cost, c, customer has to pay is
(a) c = 0.63p + 7
(b) c = 0.9p + 7
(c) c = 0.9p - 7
(d) None of these

Answer 1

Hint: In this given problem, we are trying to find the value one customer has to pay using the given conditions. To start with, we try to find the value of the potatoes per pound after the discount. Then, we find the value of carrots and add them altogether to find the value of c. Writing them into the proper form we will get our solution.

Complete step by step solution:
According to the question, a veggie store offers a discount of 30% on potatoes. The same amount is being sold for 90 cents on other days. Along with that, the same shop sold carrots at the price of 3 dollars and 50 cents per pound. If one customer buys 2 pounds of carrot and p pounds of potatoes, then we have to find the total cost ,which the customer has to pay.
So, to start with, the normal price of potatoes is 90 cents per pound.
With a 30% discount on the price, we get the price as, $=90-\left( 90\times \dfrac{30}{100} \right)$ cents.
Simplifying, the price would be, $=90-27=63$cents = 0.63 dollars.
Thus, a pound of potatoes will give us a value, $=0.63p$dollars.
Again, the price of one pound of carrot is 3.50 dollars.
Thus, 2 pounds of carrot will price as $=\left( 2\times 3.50 \right)=7$ dollars.
Then, we have the total price as 0.63p + 7 dollars.
Hence, the equation would be, c = 0.63p + 7.

So, the correct answer is “Option A”.

Note: We have used the discount of the form the percentage given in the problem. Percent and percentage are slightly different in their usage but they have a similar meaning. Percent or the sign (%) is normally used accompanied by a numerical value. For example, we can say, 95 percent or 95% of the students are bright. Percentage on the other hand is generally used without a number to refer to the word percent.