Question

9. A shopkeeper announces a discount of 12% but still makes a profit of 10% on the goods he sells. By what
percent more does he fix the MP of his goods above their CP?
​

Answer 1

❄️ ANSWER ❄️

Let CP = 100

MP = 120

Disc = 10% of MP = 12

SP = MP - Disc = 120 - 12 = 108

P = SP - CP = 108 - 100 = 8

Gain % = 8%

Points worth noting :

MP is always marked up on CP

Discount is always allowed on MP

Gain or Loss is always represented as percentage of CP unless stated otherwise

Common mistake made by students is calculating gain percentage on SP.

$<| hope \: its \: helps|>$

Answer 2

STEP-BY-STEP EXPLANATION:

.

Discount Percentage = 12% •••[given]

Profit Percentage = 10% •••[given]

Let The Cost Price be ₹100.

.

Selling Price = CP + P

• ➺ Selling Price = 100 + P% on CP
• ➺ Selling Price = 100 + 10% of 100
• ➺ Selling Price = 100 + 10/100 × 100
• ➺ Selling Price = 100 + 10
• ➺ Selling Price = ₹110

So,

• The Selling Price is ₹110.

Market Price = SP + D

• ➺ Market Price = 110 + D% on SP
• ➺ Market Price = 110 + 12% of 110
• ➺ Market Price = 110 + 12/100 × 110
• ➺ Market Price = 110 + 13.2
• ➺ Market Price = ₹123.2

So,

• The Market Price is ₹123.2.

More Percent = Difference/Less Value × 100

• ➺ More % = (123.2 - 100) / 100 × 100
• ➺ More Percent = 23.2 %

REQUIRED ANSWER,

• The Market Price is more than The Cost Price by 23.2%.