Question

An artical was sold for rupees 300 with a profit of 25% what was it's cost price?
at the back the ans is rupees 240 I want with formula please​

Answer 1

Answer:

Cp = (100/100+ profit percentage ) x 100

on the basis of this formula answer is 240

Answer 2

Answer:

₹240.

Step-by-step explanation:

SP = ₹300.

Profit = 25%.

By SP formula,

SP = (1+ r/100) × CP

=> 300 = (1+ 25/100) × CP

=> 300 = (1+ 1/4) × CP

=> 300 = 5/4 × CP

=> CP = 4/5 × 300

=> CP = 4 × 60

=> CP = ₹240.

Therefore, cost price is ₹240.

Another Method

By using formula of CP,

CP = (SP×100)/(100+P%)

= (300×100)/100+25)

= 30000/125

= ₹240.

Therefore, cost price is ₹240.

Verification

CP = ₹240.

Profit = 25% of CP = 25/100 × 240 = ₹60.

SP = CP + Profit = 240 + 60 = ₹300.

Since we got SP from CP and profit%, therefore our answer is correct.

Hence, verified.

Used Abbreviations

SP = Selling Price.

CP = Cost Price.

r = Profit%.

P% = Profit %.

_________________