Question

A book publisher offers a novel to a bookstore at a 30% discount on the cover price. However, they charge an additional 5% on the discounted price for shipping. The bookstore sells the novel for ₹1620 more, earning a profit of 40%. What was the original cover price of the novel?

• A. ₹5510.20
• B. ₹19,254.62
• C. ₹18,181.82
• D. ₹20,654.67

Answer 1

Answer:

A. ₹5510.20

"The bookstore sells the novel for ₹1620 more, earning a profit of 40%."

Selling price is ₹1620 more than the cost price, i.e. Profit = ₹1620.

If ₹1620 is the profit, then:

• Profit = 40% of Cost Price

• So,
  $\text{CP}=\frac{1620}{0.40}$=₹4050
  

The bookstore's cost price is:

• 30% discount on cover price ⇒ pays 70% of cover price.

• Shipping = 5% of the discounted price.

• Therefore,
  $\text{CP}=70\%\times105\%=73.5\%\text{ of cover price}$
  

So,

$0.735 \times \text{Cover Price}=4050$
$\text{Cover Price}=\frac{4050}{0.735}$=₹5510.20

✅ Answer: ₹5510.20