Question

A shopkeeper sells two bags for RS 500 Each. on one he gets 14% profit and on the other he gets 14% loss. his profit or loss in the entire transaction was ? 64/25% gain 49/25% gain 64/25% loss 49/25% loss

Answer 1

Answer:

you should explain the question clearly

Answer 2

Given: Two bags are sold for Rs. 500 each. On one, he gets 14% profit and on the other, he gets 14% loss.

To find: Profit or loss in the entire transaction.

Solution:

Step 1.

Let the cost price of the first bag be Rs. x .

Its selling price is Rs. 500 with 14% profit.

Then,

x * (1 + 14/100) = 500

or, x * 114/100 = 500

or, x * 57/50 = 500

or, x = 25000/57

Cost price of the first bag is Rs. 25000/57

Step 2.

Let the cost price of the second bag be Rs. y .

Its selling price is Rs. 500 with 14% loss.

Then,

y * (1 - 14/100) = 500

or, y * 86/100 = 500

or, y * 43/50 = 500

or, y = 25000/43

Cost price of the second bag is Rs. 25000/43

Step 3.

Cost price of two bags is

= Rs. (25000/57 + 25000/43)

= Rs. 2500000/2451

Selling price of two bags is

= Rs. (500 + 500)

= Rs. 1000

Since Rs. 2500000/2451 > Rs. 1000, it is a loss in the entire transaction.

Step 4.

Loss = Rs. (2500000/2451 - 1000)

= Rs. 49000/2451

Loss percentage is

= (loss / cost price) * 100%

= (49000/2451) / (2500000/2451) * 100%

= 49/2500 * 100%

= 49/25%

Answer: It is a loss of 49/25% in the entire transaction.