Read the following scenario and answer the THREE questions that follow.
A store offers a choice of five different discount coupons to its customers, described as follows:
Coupon A: A flat discount of Rs. 250 on a minimum spend of Rs. 1200 in one transaction.
Coupon B: A 15% discount on a minimum spend of Rs. 500 in one transaction, up to a maximum discount of Rs. 300.
Coupon C: A flat discount of Rs. 100 on a minimum spend of Rs. 600 in one transaction.
Coupon D: A 10% discount on a minimum spend of Rs. 250 in one transaction, up to a maximum discount of Rs. 100.
Coupon E: A flat discount of Rs. 50 on a minimum spend of Rs. 200 in one transaction.
The customers are allowed to use at most one coupon in one transaction, i.e., two or more coupons cannot be combined for the same transaction.
Four customers used four different discount coupons for their respective transactions in such a way that they obtained a total discount of Rs. 710. Which discount coupon was not used?
Tabulating the coupons and the respective minimum & maximum discounts on minimum spend as below-
From the table, we can infer that
Coupon A can be availed only when someone spends a minimum amount of Rs. 1200 and he will obtain a flat discount of Rs. 250.
Coupon B can be availed only when someone spends a minimum amount of Rs. 500 such that he will get a discount of 15% on it which is Rs. 75 and a maximum discount of Rs. 300 can be given when he spends amount greater than or equal to Rs. 2000.
Coupon C can be availed only when someone spends a minimum amount of Rs. 600 and he will obtain a flat discount of Rs. 100.
Coupon D can be availed only when someone spends a minimum amount of Rs. 250 such that he will get a discount of 10% on it which is Rs. 25 and a maximum discount of Rs. 100 can be given when he spends amount greater than or equal to Rs. 1000.
Coupon E can be availed only when someone spends a minimum amount of Rs. 200 and he will obtain a flat discount of Rs. 50.
In this question, it is given that four customers used four different discount coupons for their respective transactions in such a way that they obtained a total discount of Rs. 710.
Let us assume that coupon A was not used, then the four customers can get a maximum discount of (300+100+100+50) = Rs. 550
From the observation, we see that the sum of maximum discounts if all 5 coupons are used is (250+300+100+100+50) = Rs. 800
Therefore, to get a discount of Rs. 710 only one coupon that we can skip is Coupon E because in all other cases, the total discount will be less than Rs. 710
Hence, Option E is the correct answer.
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