Question

If 16 shirts were sold for 20 notes of Rs. 100, double its notes of Rs. 50 and 200 notes of Rs. 20, then what is the selling price of a shirt?
A. Rs. 250
B. Rs. 400
C. Rs. 350
D. Rs. 500

Answer 1

Hint: To solve this question, we will first find the selling price of 16 shirts by multiplying the number of notes to its price value and then we will use the unitary method to find the value of each shirt by dividing the total amount obtained for 16 shirts by 16 to get the selling price of 1 shirt.

Complete step-by-step answer:
We have been given that 16 shirts were sold for 20 notes of Rs. 100, double its notes of Rs. 50 and 200 notes of Rs. 20. And we have been asked to find the selling price of a shirt. We will first try to find the selling price of the given 16 shirts. For, that, we will multiply the given number of notes with their price value. Let us consider each number of note and its price value, one by one and calculate the amounts. So, we will get,
Number of notes of Rs. 100 = 20, therefore we get the amount = Rs. (20 $ \times $ 100) = Rs. 2000.
Since it is mentioned in the question that the number of notes of Rs. 50 is double that of Rs. 100, we can write that,
Number of notes of Rs. 50 = 2 $ \times $ 20 = 40, therefore, we get the amount = Rs. (50 $ \times $ 40) = Rs. 2000.
Number of notes of Rs. 20 = 200, therefore, we get the amount = Rs. (20 $ \times $ 200) = Rs. 4000.
So, we can say that the total amount for the 16 shirts will be the sum of these amounts that we have obtained. So, we get,
The total amount for 16 shirts = Rs. (2000 + 2000 + 4000) = Rs. 8000.
Now we will use the unitary method to find the selling price of 1 shirt. So, we can say,
Since, the price of 16 shirts = Rs. 8000
The price of 1 shirt will be = Rs. $ \dfrac{8000}{16} $ = Rs. 500.
Hence, we get the selling price of 1 shirt as Rs. 500.
Therefore, the correct answer is option D.

Note: We should note that the selling price is the price in a transaction in which money is exchanged for an item or service. It is also known as market price, list price and standard price. The students must read this question carefully and not miss out on any data. In this question, chances are that the student misses that we have to find the selling price of 1 shirt. They may not divide Rs. 8000 by 16 and take Rs. 8000 as the final answer, which is not available in the options and get panicked.