Question

Neha buys two toys at Rs 50 each. She sells one at a gain of 16% and other at a loss of 20%. Find her gain or loss percent.​

Answer 1

Answer:

2% is the loss percentage for the given problem

Answer 2

SOLUTION :

$\underline{\bf{Given\::}}}}$

Neha buys two toys at Rs.50 each. She sells one at a gain of 16% and other at a loss of 20%.

$\underline{\bf{To\:find\::}}}}$

Neha gain or loss percent.

$\underline{\bf{Explanation\::}}}}$

$\underbrace{\bf{1_{st}\:case\::}}}}$

• Cost price (C.P) for one toy = Rs.50
• On one toy gain = 16%
• Selling price ?

Using formula :

$\boxed{\bf{Selling\:price=\frac{100+gain\%}{100} \times C.P.}}}}}$

$\longrightarrow\sf{S.P.=\dfrac{100+16}{100} \times 50}\\\\\\\longrightarrow\sf{S.P.=\dfrac{116}{\cancel{100}} \times \cancel{50}}\\\\\\\longrightarrow\sf{S.P.=\cancel{\dfrac{116}{2} }}\\\\\\\longrightarrow\bf{S.P.=Rs.58}$

$\underbrace{\bf{2_{nd}\:case\::}}}}$

• Cost price (C.P) for other toy = Rs.50
• On other toy loss = 20%
• Selling price ?

Using formula :

$\boxed{\bf{Selling\:price=\frac{100-loss\%}{100} \times C.P.}}}}}$

$\longrightarrow\sf{S.P.=\dfrac{100-20}{100} \times 50}\\\\\\\longrightarrow\sf{S.P.=\dfrac{80}{\cancel{100}} \times \cancel{50}}\\\\\\\longrightarrow\sf{S.P.=\cancel{\dfrac{80}{2} }}\\\\\\\longrightarrow\bf{S.P.=Rs.40}$

Now;

Total Cost price of toys = Rs.(50 + 50) = Rs.100

Total selling price of toys = Rs.(58 + 40) = Rs.98

C.P. > S.P.

Loss = C.P. - S.P.

Loss = Rs.100 - Rs.98

Loss = Rs.2

Using formula of the loss% :

$\longrightarrow\sf{Loss\%=\bigg(\dfrac{Loss\times 100}{C.P.}\bigg)\%} \\\\\\\longrightarrow\sf{Loss\%=\bigg(\dfrac{2\times 100}{100} \bigg)\%}\\\\\\\longrightarrow\sf{Loss\%=\bigg(\cancel{\dfrac{200}{100}} \bigg)\%}\\\\\\\longrightarrow\bf{Loss\%=2\%}$

Thus;

Neha his toys loss 2%  .