Question

The difference between the selling price of some apples, if sold for Rs. 15 per apple instead of Rs. 11 per apple, is Rs. 800. If the cost price of all the apples is Rs. 1,800, find the selling price of 10 apples if the profit earned is 10%.
1. Rs. 80
2. Rs. 99
3. Rs. 88
4. Rs. 90

Answer 1

Correct Answer - Option 2 : Rs. 99

Given:

The difference between the selling price of some apples = Rs. 800

The cost price of all the apples = Rs. 1,800

Profit percentage = 10%

Formula used:

Selling price = cost price × (100 + profit percentage)/100

Cost of each item = total cost/number of items

Calculation:

Let the number of some apples be x

According to the question,

15x - 11x = 800

⇒ 4x = 800

⇒ x = 800/4

⇒ x = 200

The cost price of each apple = 1800/200

⇒ Rs. 9

The cost price of 10 apples = 10 × 9

⇒ 90

The selling price of 10 apples = 90 × (100 + 10)/100

⇒ 90 × 110/100

⇒ Rs. 99 

∴ The selling price of 10 apples is Rs. 99