Quants Questions for CLAT | QB Set 26 [Marked Price and Discount]

During a festive sale, CampusMart, a retail store, offered discounts on selected products. A jacket with a marked price of ₹2,400 was available at a 25% discount, while a backpack marked at ₹1,800 was offered at a 20% discount. A pair of sports shoes with a marked price of ₹3,200 carried a 15% discount.

The store also offered a smartwatch marked at ₹2,500 under a successive discount scheme. Customers first received a 10% discount on the marked price and then another 20% discount on the reduced price.

To encourage larger purchases, CampusMart announced an additional offer. Any customer purchasing two or more products would receive a further 5% discount on the combined price after applying the individual product discounts. This additional discount was applicable to all four products, including the smartwatch.

The discounts were applied sequentially, which meant that two successive discounts were not simply added together. Customers therefore had to calculate the reduced price after each discount before applying the next discount.

Question 1

What is the price of the jacket after the individual discount but before any additional discount?

A. ₹1,800
B. ₹1,850
C. ₹1,920
D. ₹2,000

Question 2

What is the effective percentage discount offered on the smartwatch after the two successive discounts?

A. 26%
B. 28%
C. 30%
D. 32%

Question 3

A customer purchases the backpack and the sports shoes. How much will the customer pay after receiving all applicable discounts?

A. ₹3,840
B. ₹3,900
C. ₹3,952
D. ₹4,040

Question 4

A customer purchases the jacket and the smartwatch. How much does the customer save in total compared with their combined marked prices?

A. ₹1,300
B. ₹1,350
C. ₹1,440
D. ₹1,480

Question 5

A customer purchases the jacket, backpack and smartwatch. What percentage discount, approximately, does the customer receive on their total marked price after all applicable discounts?

A. 27.5%
B. 28.2%
C. 29.4%
D. 28.5%

Answers and Detailed Explanations

1. Answer: A — ₹1,800

Marked price of jacket = ₹2,400

Discount = 25%

Discount amount:$$2400 \times \frac{25}{100} = ₹600$$

Therefore, discounted price:$$₹2,400-₹600=₹1,800$$

Hence, the correct answer is A. ₹1,800.

2. Answer: B — 28%

Marked price of smartwatch = ₹2,500.

First discount = 10%.

Price after first discount:$$2500\times\frac{90}{100}=₹2,250$$

Second discount = 20% on ₹2,250.

Second discount amount:$$2250\times\frac{20}{100}=₹450$$

Final price:$$₹2,250-₹450=₹1,800$$

Total discount:$$₹2,500-₹1,800=₹700$$

Effective discount percentage:$$\frac{700}{2500}\times100=28\%$$

Therefore, the two discounts of 10% and 20% result in an effective discount of 28%, not 30%.

Hence, the correct answer is B. 28%.

3. Answer: C — ₹3,952

First, calculate the discounted price of each product.

Backpack:

Marked price = ₹1,800
Discount = 20%$$1800\times\frac{80}{100}=₹1,440$$

Sports shoes:

Marked price = ₹3,200
Discount = 15%$$3200\times\frac{85}{100}=₹2,720$$

Combined price after individual discounts:$$₹1,440+₹2,720=₹4,160$$

Since the customer is purchasing two products, an additional 5% discount applies.

Additional discount:$$4160\times\frac{5}{100}=₹208$$

Final amount:$$₹4,160-₹208=₹3,952$$

Hence, the correct answer is C. ₹3,952.

4. Answer: D — ₹1,480

Combined marked price of jacket and smartwatch:$$₹2,400+₹2,500=₹4,900$$

Discounted price of jacket:$$₹2,400\times75\%=₹1,800$$

Discounted price of smartwatch, as calculated earlier:$$₹1,800$$

Combined discounted price:$$₹1,800+₹1,800=₹3,600$$

An additional 5% discount is available because two products are being purchased.

Additional discount:$$₹3,600\times5\%=₹180$$

Final amount paid:$$₹3,600-₹180=₹3,420$$

Therefore, total saving:$$₹4,900-₹3,420=₹1,480$$

Hence, the correct answer is D. ₹1,480.

5. Answer: D — 28.5%

The customer purchases the jacket, backpack and smartwatch.

Their total marked price is:$$₹2,400+₹1,800+₹2,500=₹6,700$$

Prices after individual discounts:

Jacket:$$₹1,800$$

Backpack:$$₹1,440$$

Smartwatch:$$₹1,800$$

Combined discounted price:$$₹1,800+₹1,440+₹1,800=₹5,040$$

Now apply the additional 5% discount:$$₹5,040\times5\%=₹252$$

Final amount paid:$$₹5,040-₹252=₹4,788$$

Total discount received:$$₹6,700-₹4,788=₹1,912$$

Discount percentage:$$\frac{1912}{6700}\times100\approx28.54\%$$