Question

The mangoes are sold at Rs.$43\dfrac{1}{2}$ per kg. What is the weight of mangoes available for Rs.$326\dfrac{1}{4}$?

Answer 1

Hint: First, transform both values in the decimal part. Then assume the weight of mangoes. After that substitute, the value in the formula total amount is equal to the product of the weight of mangoes and the price of mangoes per kg. Now, divide the total price by the price of mangoes per kg.

Complete step-by-step answer:
Given: - The price of mango per kg is Rs. $43\dfrac{1}{2}$.
The total amount is Rs. $326\dfrac{1}{2}$.
Let the weight of the mangoes available be x kg.
Convert the price per kg in terms of decimal,
Rs. $43\dfrac{1}{2} = $ Rs. $43 + 0.5$
Add the terms on the right side,
Rs. $43\dfrac{1}{2} = $ Rs. $43.5$
Now, convert the total amount in terms of decimal,
Rs. $326\dfrac{1}{4} = $ Rs. $326 + 0.25$
Add the terms on the right side,
Rs. $43\dfrac{1}{2} = $ Rs. $326.25$
So, the weight of the mangoes available is calculated by the total amount divided by the weight of 1 kg mangoes.
$x = \dfrac{{Total\,Amount}}{{Price\,of\,1\,kg}}$
Substitute the values of the total amount and the price of 1 kg mangoes in the above equation,
$x = \dfrac{{326.25}}{{43.5}}$
Cancel out the common factors from the numerator and denominator on the right side,
$x = 7.5$ kg

Hence, the mangoes available for Rs. $326\dfrac{1}{4}$ is 7.5 kg.

Note: This kind of question in Math falls under the “Algebra” category.
Algebra comes from a Latin variant of the Arabic word al-jabr, it came from the book’s title “Hidab al- jabr w'al-muqubala” by a mathematician from Arab-Mohammed ibn-Musa al-Khowarizmi in 825 A.D. If you still don’t think that Algebra is not an important subject, you are wrong. It is used in other fields like science, engineering, economics, mathematics, and medicine. The signs of (+) and (-) which prove to be essential elements in performing algebraic equations were discovered in 16th. Before that, people use written words to express the functions of addition and subtraction which was a time-consuming process.