Math, asked by anushabhargava67241, 8 months ago

If cp of 10 pens is equal to sp of 8 pens then find the gain or loss percent

Answers

Answered by dranamika80
11

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

Answered by ChitranjanMahajan
28

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 %

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