Question

A dog seller sells two puppies, one of Labrador while other of Pug for Rs. 5000 each, neither losing or gaining in the deal. If he sold a labrador a a gain of 25% . Then, calculate on how much loss % a Pug is sold out ?
1. 21%
2. 20%
3. 164/9%
4. 50/3%

Answer 1

Correct Answer - Option 4 : 50/3%

Given∶ 

Selling Price of each puppy = Rs. 5000

Labrador is sold at a gain of 25%

Formula Used∶

Loss = C.P. - S.P.

C.P. = (100 × S.P.)/ (100 + Gain%)

Loss% = (Loss/C.P.) × 100

Calculation∶

S.P. of each dog is Rs. 5000

Total S.P. = Rs. 10,000

As, there is no profit or no loss in the deal, So

Total C.P. = Total S.P. = Rs. 10,000

Now, S.P. of 1st puppy = Rs. 5000

then, C.P. of 1st puppy = (100 × 5000)/125) = Rs. 4000

C.P. of 2nd puppy = Total C.P. - C.P. of 1st puppy = 10,000 - 4000 = Rs. 6000

So, Loss% = (Loss/C.P.) × 100

⇒ [(6000 - 5000)/6000] × 100 

⇒ 100/6

⇒ 50/3%

∴ The Pug is sold out at a loss of 50/3%.