Question

Shine sold two tables at 9900 rupees each he got 10%profit in one sale and 10% loss in other. Did the total sale result in a profit or loss? What percentage

Answer 1

The total sale resulted in a loss of 1%.

For the first deal,

Selling Price = Rs 9900

Profit = 10%

So, CP must be less than SP, inorder to get profit.

Let CP be Rs x.

We know, SP after profit is given as:

SP = (100+Profit)% of CP

    = (100+10)% of x = 1.1x

Given, SP = 9900

So, 1.1x = 9900

x = 9900/1.1 = Rs 9000

CP = Rs 9000

For the second deal,

Selling Price = Rs 9900

Loss = 10%

So, CP must be more than SP, inorder to get less.

Let CP be Rs y.

We know, SP after loss is given as:

SP = (100-Loss)% of CP

    = (100-10)% of y = 0.9y

Given, SP = 9900

So, 0.9y= 9900

y = 9900/0.9 = Rs 11000

CP = Rs 11000

For the total deal,

Total CP = Rs (9000+11000) = Rs 20000

Total SP = Rs (2×9900) = Rs 19800

Since, CP>SP, he suffers a loss.

Loss value = CP - SP = Rs(20000-19800) = Rs 200

Loss% = [Loss/CP × 100]%

          = [200/20000 × 100]%

          = 1%

He suffers 1 % loss.