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?
Which discount coupon was not used?
- Coupon A
- Coupon B
- Coupon C
- Coupon D
- Coupon E
The Correct Option is
Solution and Explanation
Step 1: Write the discount amounts for each coupon. From the problem, the discounts for each coupon are:
Coupon A: 250 (Minimum spend: Rs. 1200),
Coupon B: 300 (Maximum discount on 15% for Rs. 2000 or more),
Coupon C: 100 (Flat discount on Rs. 600 minimum spend),
Coupon D: 60 (10% discount on Rs. 600 spend),
Coupon E: 50 (Flat discount on Rs. 200 spend).
Step 2: Check combinations that add to Rs. 710. Using the discounts, consider combinations of four coupons that total Rs. 710:
250(Coupon A) + 300(Coupon B) + 60(Coupon D) + 50(Coupon E) = 710.
Step 3: Identify the coupon not used. Since the total of Rs. 710 is achieved without using
Coupon C, it must be the unused coupon.
Final Answer: Coupon C.
Four customers used four different discount coupons for their respective transactions in such a way that nobody used any discount coupon sub-optimally. (A discount coupon is used suboptimally if using another discount coupon could have resulted in a higher discount for the same transaction.)
What was the minimum combined spend (before application of any discount)?
What was the minimum combined spend (before application of any discount)?
- Rs. 2250
- Rs. 2500
- Rs. 2350
- Rs. 2300
- Rs. 1550
The Correct Option is B
Solution and Explanation
Step 1: Analyze the discounts provided by each coupon. The discount details are:
- Coupon A: Flat Rs. 250 discount on Rs. 1200 minimum spend.
- Coupon B: 15% discount with a maximum discount of Rs. 300. Minimum spend to achieve Rs. 300 is Rs. 2000.
- Coupon C: Flat Rs. 100 discount on Rs. 600 minimum spend.
- Coupon D: 10% discount with a maximum discount of Rs. 100. Minimum spend to achieve Rs. 100 is Rs. 1000.
- Coupon E: Flat Rs. 50 discount on Rs. 200 minimum spend.
Step 2: Assign coupons to spends to ensure minimum combined spend. To achieve the minimum combined spend:
- Use Coupon A for a spend of Rs. 1200.
- Use Coupon B for a spend of Rs. 2000.
- Use Coupon C for a spend of Rs. 600.
- Use Coupon E for a spend of Rs. 200.
Step 3: Calculate the total combined spend.
Total spend = Rs. 1200 + Rs. 2000 + Rs. 600 + Rs. 200 = Rs. 2250.
Final Answer: Rs. 2250.
A family wanted to purchase four products worth Rs. 1000 each, and another product worth Rs. 300. They were told that they could:- pay for the five products through one or more transactions in any way they wanted, as long as the purchase amount of any one product would not get split into different transactions, and
- use the same discount coupon repeatedly for separate transactions, if they opt for more than one transaction.
What was the maximum discount that they could obtain for their purchase?
- pay for the five products through one or more transactions in any way they wanted, as long as the purchase amount of any one product would not get split into different transactions, and
- use the same discount coupon repeatedly for separate transactions, if they opt for more than one transaction.
- Rs. 600
- Rs. 645
- Rs. 650
- Rs. 700
- None of the remaining options is correct.
The Correct Option is C
Solution and Explanation
Step 1: Break down the purchase into separate transactions. The total purchase includes:
- Four products worth Rs. 1000 each.
- One product worth Rs. 300.
Step 2: Maximize the discount for each transaction.
- For each Rs. 1000 product, use
Coupon D (10% discount). Total discount = 4 × 100 = 400. - For the Rs. 300 product, use
Coupon D (10% discount, Rs. 30) or Coupon E** (flat Rs. 50). Use Coupon E for a Rs. 50 discount.
Step 3: Calculate the maximum total discount.
Maximum discount = Rs. 400 (four Rs.1000 products) + Rs. 50 (one Rs. 300 product) = Rs. 450.
Final Answer: Rs. 450.
Top Questions on Profit and Loss
- An iron beam made with rare materials has its market price dependent on the square of its length. The beam broke into two pieces in the ratio of 4 : 9. If it is sold as two separate pieces, what would be the percentage profit or loss compared to its original value?
- FS food stall sells only chicken biryani. If FS fixes a selling price of Rs. 160 per plate, 300 plates of biriyani are sold. For each increase in the selling price by Rs. 10 per plate, 10 fewer plates are sold. Similarly, for each decrease in the selling price by Rs. 10 per plate, 10 more plates are sold. FS incurs a cost of Rs. 120 per plate of biriyani, and has decided that the selling price will never be less than the cost price. Moreover, due to capacity constraints, more than 400 plates cannot be produced in a day.
If the selling price on any given day is the same for all the plates and can only be a multiple of Rs. 10, then what is the maximum profit that FS can achieve in a day? - Match List I with List II:Choose the correct answer from the options given below:
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Sale Price: ₹55(I) 13.33% (B) Regular Price: ₹60
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