Question

The cost of 5kg tomatoes is Rs.80. What quantity of tomatoes can be purchased for Rs.216?

Answer 1

Hint: Using the given information find the weight of tomatoes that can be purchased in Rs.1 by using the unitary method. Now, multiply both sides of the relation with Rs.216 and simplify the Right – hand side to find the number of tomatoes that can be purchased for Rs.216.

Complete step-by-step solution
Here, we have been provided with the information that the cost of 5 kg tomatoes is Rs.80, and we have to find the amount or quantity of tomatoes that can be purchased for Rs.216. So, we have,
Quantity of tomatoes that can be purchased for Rs.80 = 5kg
So, apply the unitary method and dividing both sides with 80, we get,
\[\Rightarrow \] Quantity of tomatoes that can be purchased for Rs.1 = \[\dfrac{5}{80}\]kg.
Now, multiplying both sides with 216, we get,
\[\Rightarrow \] Quantity of tomatoes that can be purchased for Rs.216 = \[\dfrac{5}{80}\times 216\]kg = 13.5kg
Hence, 13.5kg of tomatoes can be purchased with 216Rs.

Note: One may note that we have applied the basic unitary method to solve the question. Actually, this question is from the topic ‘ratio and proportion’. There can be another method also to solve the question. What we can do is we will assume the number of tomatoes that can be purchased for Rs.216 as ‘n’ kg. Now, we will write the given information in proportion form as: - 5 : 80 :: n : 216 which is equal to the expression: - \[\dfrac{5}{80}=\dfrac{n}{216}\]. Hence, by cross – multiplication we will simplify the expression and get the value of n.