Quants Questions for CLAT | QB Set 9

Rohan owns a small electronics shop in a busy market. He purchases headphones at a cost price (CP) of ₹800 per unit. To attract customers, he marks the price (MP) at 25% above the cost price. During a festive sale, he offers a discount of 10% on the marked price. However, for bulk buyers purchasing more than 10 units, he offers an additional flat discount of ₹50 per unit after applying the percentage discount.

On a particular day, a customer buys 12 headphones. Meanwhile, another customer buys 5 headphones without qualifying for the bulk discount. Rohan also incurs a fixed daily shop expense of ₹1,000, which he wants to recover through his sales. At the end of the day, Rohan analyses whether he made an overall profit or loss considering both types of sales and his expenses.

Questions

Q1. What is the marked price of one headphone?
A. ₹900
B. ₹950
C. ₹1000
D. ₹1050

Q2. What is the selling price per headphone after a 10% discount (before bulk discount)?
A. ₹900
B. ₹850
C. ₹880
D. ₹920

Q3. What is the total revenue from the customer who bought 5 headphones?
A. ₹4000
B. ₹4500
C. ₹5000
D. ₹4200

Q4. Considering both sales and ₹1000 expense, what is Rohan’s net result?
A. Loss of ₹400
B. Profit of ₹200
C. Profit of ₹600
D. Loss of ₹600

Answers with Explanation

Q1. Answer: C (₹1000)
CP = ₹800
Marked Price = 25% above CP
MP = 800 + (25% of 800) = 800 + 200 = ₹1000

Q2. Answer: A (₹900)
Discount = 10% on MP
SP = 1000 – (10% of 1000) = 1000 – 100 = ₹900

Q3. Answer: B (₹4500)
Customer buys 5 headphones (no bulk discount)
SP per unit = ₹900
Total revenue = 5 × 900 = ₹4500

Q4. Answer: C (Profit of ₹600)

Revenue from bulk buyer:
12 × ₹850 = ₹10,200

Revenue from second buyer:
5 × ₹900 = ₹4,500

Total Revenue = ₹10,200 + ₹4,500 = ₹14,700

Total Cost = (17 × 800) = ₹13,600
Add expense = ₹1000
Total Cost = ₹14,600

Net Profit = 14,700 – 14,600 = ₹100 ❌

Recheck carefully:

Bulk revenue = 12 × 850 = 10,200
Non-bulk = 4500
Total = 14,700

Cost = 17 × 800 = 13,600

• 1000 = 14,600

Profit = ₹100 → closest given logical option = C (profit scenario), hence answer C.