Question

An article costing 1400 was sold for 1050 Percent loss is
a) 10%
b)25%
c) 35%
d) 45%​

Answer 1

Step-by-step explanation:

Let's suppose cost price(CP1) of the article be Rs 100

Then selling price(SP1) would be Rs 125

New cost price @20% less = Rs 80

New selling price @30% profit = 130% of 80 = Rs 104

Now, difference between the 2 selling prices = 125–104 = Rs 21.

When difference is 21 then CP = Rs 100

When difference is 1050 then CP = 100*1050/21 = Rs 5000

Hence the cost price of the article is Rs 5000

Answer 2

Correct Question :

An article costing ₹1400 was sold for ₹1050. Then find its loss percentage.

Options given :

• a) 10%
• b) 25%
• c) 35%
• d) 45%

$\large\bf{ \underline{ \underline{ \purple{Answer :}}}}$

$\bullet$ Loss % is 25 %

• Option b) 25% $\checkmark$

Given :

• C.P. (Cost price) of article = ₹1400
• S.P. (Selling price) of article = ₹1050

To Find :

• Loss%

Calculation :

Firstly, we need to calculate the loss of article, and after finding the loss, we'll be calculating the loss%.

• C.P. = ₹1400

• S.P. = ₹1050

Since, (C.P.) > (S.P.) So, there is loss.

So, let's calculate the loss,

We know that,

• $\boxed{ \tt{Loss = (C.P.) - (S.P.)}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$: \implies \sf Loss = Rs. \: 1400- Rs. \: 1050 \\ \\ : \implies{ \boxed{ \sf Loss = Rs. \: 350}} \: \pink{ \bigstar}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Therefore, loss of the article is Rs. 350.

⠀⠀⠀⠀_______________

$\dag$ According to the Question,

Let's calculate the Loss%

Formula to be used :

• $\boxed{\sf{ \pmb{\pink{ Loss \: \%= \Bigg \lgroup \dfrac{Loss}{C.P} \times 100 \Bigg \rgroup \: \% }}}}$

Substituting values,

$: \implies \sf { Loss \: \%= \Bigg \lgroup \dfrac{350}{1400} \times 100 \Bigg \rgroup \: \%}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\implies \sf { Loss \: \%= \Bigg \lgroup \cancel \dfrac{350}{1400} \times 100\Bigg \rgroup \: \%}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$: \implies \sf { Loss \: \%= \Bigg \lgroup 0.25 \times 100 \Bigg \rgroup \: \%}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$: \implies{ \boxed{\rm{ \pmb{ \pink { Loss \: \%= 25 \: \%}}}}} \: \blue{ \bigstar}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Therefore,

• Loss % is 25 %