Home
Class 14
MATHS
A wholesaler sells books to a retailer a...

A wholesaler sells books to a retailer at 10% profit. The retailer sells these books to customer at a profit of 8%. If the customer pays 270 for a book, then find the cost of the book to the retailer.
(a)500
(b)400
(c)330
(d)250

A

500

B

400

C

330

D

250

Text Solution

AI Generated Solution

The correct Answer is:
To find the cost of the book to the retailer, we can follow these steps: ### Step 1: Understand the Selling Price of the Customer The customer pays ₹270 for the book. ### Step 2: Calculate the Selling Price of the Retailer The retailer sells the book at an 8% profit. Let the cost price of the book to the retailer be \( C_r \). The selling price (SP) of the retailer can be expressed as: \[ SP = C_r + 0.08 \times C_r = 1.08 \times C_r \] Given that the customer pays ₹270, we have: \[ 1.08 \times C_r = 270 \] ### Step 3: Solve for the Cost Price of the Retailer To find \( C_r \), we rearrange the equation: \[ C_r = \frac{270}{1.08} \] Calculating this gives: \[ C_r = \frac{270}{1.08} = 250 \] ### Step 4: Conclusion The cost of the book to the retailer is ₹250. ### Final Answer The correct option is (d) 250. ---
Promotional Banner

Similar Questions

Explore conceptually related problems

A wholesaler sells a jacket to retailer at a profit of 5% and the retailer sells it to a customer at a profit of 10%.If the customer pays Rs. 4158, what had it cost (in Rs.) to the wholesaler?

A wholesaler sells toys at a profit of 20% to a retailer and retailer sells these toys to its customer at a profit of 25%. What is the profit percentage of the retailer?

A manufacturer sells the product to a wholesaler at 6% profit, the wholesaler sells the product to a retailer at 8% profit and the retailer sells the product to his customer at 10% profit. The price paid by the customer is rs 31,482. The cost of the product to the manufacturer is: एक निर्माता थोक व्यापारी को 6% लाभ पर वस्तु बेचता है | थोक व्यापारी इसे खुदरा व्यापारी को 8% लाभ पर बेचता है तथा खुदरा व्यापारी इसे ग्राहक को 10% लाभ पर बेच देता है | ग्राहक के द्वारा दी गयी कीमत 31,482 रुपये है, तो निर्माता के लिए इस उत्पाद की कीमत क्या होगी ?

A manufacturer sells a car to a dealer at a profit of 50%, the dealer sells it to a customer at a profit of 20% and the customer sells it to a friend for Rs. 288000 at a loss of 20%. Find the cost of manufacturer.