Answer:
The cost price of the cap is Rs 70
Explanation:
* Lets explain how to solve the problem
- A Palpali cap is marked to sell at a profit of 10% by a shopkeeper
- Let the cost price of the cap is x
∵ It marked to sell at a profit 10%
∴ Its selling price = x + (10/100) x = x + 0.1 x = 1.1 x ⇒ (1)
- He sells it at a discount 10.50
∴ He sells it at ⇒ 1.1 x - 10.50
- There will be loss of 5%
∵ selling price = cost price - loss
∵ The cost price is x
∴ selling price = x - (5/100) x = x - 0.05 x = 0.95 x ⇒ (2)
- Equate (1) and (2) ⇒ both of them is the selling price
∴ 1.1 x - 10.50 = 0.95 x
- Subtract 0.95 x from both sides and add 10.50 to them
∴ 1.1 x - 0.95 x = 10.50
∴ 0.15 x = 10.50 ⇒ divide both sides by 0.15
∴ x = 70
∵ x is the cost price of the cap
∴ The cost price of the cap is Rs 70