(a) A shopkeeper bought a laptop at Rs 60,000. He marked the price of the laptop 40% above the cost price. If the shopkeeper sold the laptop after a 20% discount:

i. Find the marked price of the laptop.
ii. Find the discount allowed to the customer.
iii. At what price did the shopkeeper sell the laptop?
iv. What is the profit made by the shopkeeper?



Answer :

Of course! Let's solve each part of the problem step-by-step based on the given information.

### Part (i) Find the marked price of the laptop.

Given:
- Cost price of the laptop = Rs 60,000
- Mark up percentage = 40%

To find the marked price of the laptop, we need to add 40% of the cost price to the cost price.

Marked Price = Cost Price + (Cost Price Mark-up Percentage)
= 60,000 + (60,000
0.40)

Adding the values:
Marked Price = 60,000 + 24,000
= Rs 84,000

### Part (ii) Find the discount allowed to the customer.

Given:
- Marked Price = Rs 84,000
- Discount Percentage = 20%

To find the discount allowed to the customer, we calculate 20% of the marked price.

Discount = Marked Price Discount Percentage
= 84,000
0.20

Calculating the value:
Discount = Rs 16,800

### Part (iii) At what price did the shopkeeper sell the laptop?

Given:
- Marked Price = Rs 84,000
- Discount = Rs 16,800

To find the selling price, we subtract the discount from the marked price.

Selling Price = Marked Price - Discount
= 84,000 - 16,800

Calculating the value:
Selling Price = Rs 67,200

### Part (iv) What is the profit made by the shopkeeper?

Given:
- Selling Price = Rs 67,200
- Cost Price = Rs 60,000

To find the profit made by the shopkeeper, we subtract the cost price from the selling price.

Profit = Selling Price - Cost Price
= 67,200 - 60,000

Calculating the value:
Profit = Rs 7,200

### Summary:
1. Marked Price of the laptop: Rs 84,000
2. Discount allowed to the customer: Rs 16,800
3. Selling Price of the laptop: Rs 67,200
4. Profit made by the shopkeeper: Rs 7,200