Question

Cost of 5kg of wheat is Rs. 91.50
(a) What will be the cost of 8 kg of wheat?
(b) what quantity of wheat can be purchased in Rs. 183?

Answer 1

Hint: Begin by finding the price of 1 kg of wheat by dividing 91.50 by 5. Then, multiply it by 8 to find the cost of 8 kg of wheat. Next, find the amount of wheat that can be bought for Rs. 1 by dividing 5 by 91.50 and then multiply it by 183 to find the quantity of wheat that can be bought for Rs. 183.

Complete step-by-step answer:
We have a cost of 5kg of wheat as Rs. 91.50.
We will begin by finding the cost of 1 kg of wheat by dividing the cost of 5 kg of wheat by its price.
$\dfrac{{91.50}}{5} = 18.3$
Now, we can find the price of 8 kg of wheat by multiplying the cost of 1 kg of wheat by 8.
$18.3\left( 8 \right) = 146.4$
Hence, the price of 8 kg of wheat is 146.4 kg.
Also, we want to find the quantity that can be bought for Rs. 183.
We will begin by finding the quantity that can be bought for Re. 1
We will divide 5 by 91.50 to calculate the quantity that can be bought for Re. 1.
$\dfrac{5}{{91.50}}$
Now, multiply it by 183 to find the quantity that can be bought for Rs. 183.
$\dfrac{5}{{91.50}}\left( {183} \right) = 10$
Therefore, 10 kg of material could be bought for Rs. 183.

Note: We have used a unitary method to solve this question. We first find the unit value and then multiply that with the quantity that we have. It has to be applied carefully, like in the first part, we want to calculate the cost of 8 kg of wheat, so we will first find the cost of unit kg, that is 1 kg and hence multiply it by 8.