Question

If Shikha bought 6 shirts each for Rs.200, how much change does she receive if she gave an Rs.2000 note to the shopkeeper to pay including the offer given in the image?

A. Rs.1000\[\]
B. Rs.500\[\]
C. Rs.1500\[\]
D.Rs.1200\[\]

Answer 1

Hint: We find the total amount of rupees Shikha will pay to the shopkeeper without the offer by multiplying 6 to the price of each shirt. We find how much she will get back from the offer for 6 shirts and then subtract from the total amount from which we will get the amount she will pay with the offer. We subtract this amount from 2000 to get the answer. \[\]

Complete step-by-step solution
We are given the question that Shikha bought 6 shirts each for Rs.200. We are also given an offer which says “Buy 3 shirts and gets Rs.100 back”. We are asked to find out how much change does she receive if she gave an Rs.2000 note to the shopkeeper to pay including the offer given in the image.\[\]
We first need to calculate how much she would have paid in total for all 6 shirts. The word each means one. The price of one shirt is Rs.200, so then the total price she would have paid is 6 times 200 rupees that are $6\times 200=1200$ rupees.\[\]
We read the offer “Buy 3 shirts and get Rs.100 back” and conclude that Shikha will get back Rs.100 for every 3 shirts she buys. So the amount of rupees she will get for 6 shirts is twice the amount she will get for 3 shirts. So she will get $100\times 2=200$ rupees for buying 6 shirts. \[\]
So the price she will pay to the shopkeeper for the six shirts is the price she would have paid without the offer which is Rs.1200 minus the price she will get for the offer rs.200. So she will pay $1200-200=1000$ rupees to the shopkeeper. \[\]
We are told that she gave the shopkeeper an Rs.2000 note. So she will get 2000 minus the amount for 6 shirts which is $2000-1000=1000$ rupees. So the correct option is A.

Note: We need to be careful that she will use the offer for 6 shirts, not 3 shirts. We can alternatively solve if we know the unitary method for direct variation to find the amount she will get back per shirt $\dfrac{100}{3}$ and then we multiply 6 to get total cashback from the offer as $\dfrac{100}{3}\times 6=200$rupees.