Question

Whose deals better in both cases?
(a) Ajit bought 3 shirts for Rs. 1500. Aman got 2 shirts of the same type for Rs. 1186.
(b) Aman bought 3 kg pears for Rs. 1080, whereas Ajit bought 5 kg pears for Rs. 1825.

Answer 1

Hint:
First, we will find the cost of one item for both of them by using the unitary method, after that we will compare both the cost of the unit items and the one which is lesser, would end up being a better deal. Hence, we will get our answer.

Complete step by step solution:
According to the question,
CASE 1: Ajit bought 3 shirts for Rs. 1500. Aman got 2 shirts of the same type for Rs. 1186.
Ajit bought 3 shirts for Rs. 1500
Hence, the price of one shirt bought by Ajit is
$ \Rightarrow {P_{Ajit}} = \dfrac{{1500}}{3}$
On simplifying the RHS, we get
$ \Rightarrow {P_{Ajit}} = 500$
Aman got 2 shirts for Rs. 1186
Hence, the price of one shirt bought by Aman is
$ \Rightarrow {P_{Aman}} = \dfrac{{1186}}{2}$
On simplifying the RHS, we get
$ \Rightarrow {P_{Aman}} = 593$
On comparing ${P_{Ajit}} = 500$ and ${P_{Aman}} = 593$ , we get
$ \Rightarrow {P_{Ajit}} < {P_{Aman}}$
Hence, Ajit has a better deal in CASE 1.
CASE 2: Aman bought 3 kg pears for Rs 1080, whereas Ajit bought 5 kg pears for Rs. 1825
Ajit bought 5 kg pears for Rs. 1825
Hence, the price of one kg pears bought by Ajit is
$ \Rightarrow {P_{Ajit}} = \dfrac{{1825}}{5}$
On simplifying the RHS, we get
$ \Rightarrow {P_{Ajit}} = 365$
Aman bought 3 kg pears for Rs 1080
Hence, the price of one kg pears bought by Aman is
$ \Rightarrow {P_{Aman}} = \dfrac{{1080}}{3}$
On simplifying the RHS, we get
$ \Rightarrow {P_{Aman}} = 360$
On comparing ${P_{Ajit}} = 365$ and ${P_{Aman}} = 360$ , we get
$ \Rightarrow {P_{Ajit}} > {P_{Aman}}$

Hence, Aman has a better deal in CASE 2.

Note:
After using the unitary method, we get the price of the unit item. This helps in comparison of items, it also helps to find the price for multiple items. Sometimes the question gives the price for M items and asks to calculate the price of N items, the unitary method works best in these questions.