Question

By selling a saree for Rs. 3800. Vimla loses 5%. What percent will she gain or lose if she sell it for Rs. 4500 ?​
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Answer 1

Answer:

23 percent see if I am wrong

Answer 2

Given :

• Selling price of saree is Rs.3800
• Loss percentage of saree is 5%

To Find :

• what percentage she gain or loss if she sold the saree for Rs.4500

Explanation :

• We have, selling price of a saree and it's lost price if it sells in the given selling price, and it's said that we have to find gain or loss percentage if we sold for Rs.4500
• So we have to find Cost price of the saree for further calculations. In which C.P is cost price and S.P is selling price.

Solution :

$\boxed{\sf{\displaystyle{C.P= \frac {100}{100-L \%}\times S.P}}}$

$\implies \sf{\displaystyle{C.P= \frac {100}{100-5 \%}\times 3800}}$

$\implies \sf{\displaystyle{C.P= \frac {100}{95} \times 3800 }}$

$\implies \sf{\displaystyle{C.P= \frac {100}{19}\times 760}}$

$\implies \sf{\displaystyle{C.P= 100 \times 40}}$

$\implies {\sf{Cost\:Price = Rs.4000}}$

• Now let's gain or loss if sold the saree for for Rs.4500

Selling Price > Cost Price, therefore it's gain

$\boxed{\textsf{Gain = Selling Price - Cost Price}}$

$\implies \sf{Gain = 4500 - 4000}$

$\implies \sf{Gain = Rs.500}$

$\boxed{\displaystyle{\sf{Gain \%= \frac{Gain}{Cost\:Price }\times 100}}}$

$\displaystyle{\implies {\sf{Gain\% = \frac{500}{4000} \times 100}}}$

$\displaystyle{\implies {\sf{Gain\% = \frac{50000}{4000}}}}$

$\implies {\sf{Gain\% = 12.5\%}}$

Required Answer :

The gain percentage if the saree was sold at Rs.4500 is $\underline {\sf{ 12.5\%}}$