Question

8. A shopkeeper sells an item at Rs. 36 and incurs a loss of 10%. At what
price should the shopkeeper sell it to gain 30% ? (in Rs.)
(A) 45.5
(B) 65
(C) 58.5 (D) 52​

Answer 1

Answer:

(D) 52

Step-by-step explanation:

Rs. 52 is the price that the shopkeeper should sell it to gain 30%.

Answer 2

Answer:

• Selling Price (SP) = Rs. 36
• Loss percent = 10%
• Cost Price (CP) = ?

First we need to the Cost Price of the item, at which Shopkeeper has bought it.

• Cost Price of the item :

⇒ SP = CP × (100 - Loss)%

⇒ 36 = CP × (100 - 10)%

⇒ 36 = CP × 90%

⇒ 36 = CP × 90/100

⇒ 36 × 100/90 = CP

⇒ 4 × 10 = CP

⇒ CP = Rs. 40

⠀⠀⠀⠀⠀───────────────

• Cost Price (CP) = Rs. 40
• Gain percent he wants = 30%
• Selling Price (SP) = ?

• Selling Price of item should be :

⇒ SP = CP × (100 + Gain)%

⇒ SP = 40 × (100 + 30)%

⇒ SP = 40 × 130%

⇒ SP = 40 × 130/100

⇒ SP = 4 × 13

⇒ SP = Rs. 52

∴ Shopkeeper should have sold item at (D) Rs. 52 to gain 30% on it.