If cp of 10 pens is equal to sp of 8 pens then find the gain or loss percent
Answers
Answer:
25% gain
Step-by-step explanation:
hope it helped you u can solve it by equation
CP*10=SP*8 THEN BRING SP IN DIVIDE UNDER CP AND THEN BRING 10 UNDER 8 THEN CP IS 8 AND SP IS TEN THEN YOU CAN FIND PROFIT THAT IS 2 AND THEN PROFIT PERCENTAGE BY THE FORMULA
The gain percent earned is 25 % .
• Let the cost price of each pen be x
∴ Cost price of 10 pens = 10x -(i)
Let the selling price of each pen be y
∴ Selling price of 8 pens = 8y -(ii)
• According to the question,
10x = 8y
Or, x = 8y / 10
Or, x = 4y / 5
• Therefore, we get the cost price of each pen as 4y / 5.
Now, gain earned on each pen = Selling price of each pen - Cost price of each pen
Or, Gain = y - (4y / 5)
Or, Gain = ( 5y - 4y ) / 5 = y / 5
• ∴ Gain percent = (Gain / Cost price) × 100
%
=> Gain percent = (y / 5) / (4y / 5) × 100 %
Or, Gain percent = (y / 5) × (5 / 4y) × 100 %
Or, Gain percent = (5y / 20 y ) × 100 %
Or, Gain percent = 25 %