Question

A trader changed his trade discount from 20% to 15% . By what percentage was the selling price altered, the percentage of cash discount remaining the same as before ? ​

Answer 1

Solution :-

Let the cost price of article be ₹100

Given :

Marked price = C.P + 20% of C.P

= 100 + 20% of 100

= 100 + 20 = ₹ 120

Find the Selling price of article :-

S.P = C.P + gain % of C.P

= 100 + 8% of 100

= 100 + 8

= 108

Let the Discount be x

Find the discount :-

S.P = M.P - discount

=> 108 = 120 - x

=> 108 - 120 = - x

=> - 12 = - x = 12

Find the discount percentage :-

Discount% = (discount × 100)/M.P %

= (12 × 100)/120

= 1200/120 = 10%

Hence,

Discount = Rs 12

Discount percent = 10%

_______________________

Answer 2

Step-by-step explanation:

• Let the MP be Rs.100.

• Initial SP = 100 + 20%×100 = 120
• New, SP = 100 + 15%×100 = 115

Percentage change = ( 120-115/120 ) × 100

⠀⠀⠀⠀ ⠀⠀⠀⠀⠀ = ( 5/12 ) × 10

⠀⠀⠀⠀ ⠀⠀⠀⠀⠀ = 50/12 %