Question

Souvik bought two tables for ₹1800 each. He sold one at a loss of 8% and the ither at a profit of 12%. Find the selling price of each. Also find out total profit or loss​

Answer 1

Answer:

Cost of each table = Rs1800

sold 1 at loss = 8%

loss amount = 8/100 × 1800

= 8 × 18

= 144 Rs

Selling Price of 1 one is = 1800 - 144 = Rs 1656

sold 2 at profit = 12%

profit amount = 12/100 × 1800

= 12 × 18

= 216 Rs

Selling price of 2 one is = 1800 + 216 = 2016

Total Cost Price = 1800 + 1800

= 3600

Total Selling Price = 1656 + 2016

= 3672

Profit = 3672 - 3600

= 72Rs

Profit% = 72/3600 × 100

= 72/36

= 2%

Ans- He had a profit of 2%

Hope my answer is correct

Answer 2

Solution :

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

Souvik bought two tables for Rs.1800 each. He sold one at a loss of 8% & the other at a profit of 12% .

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

$\underbrace{\bf{1^{st} \:Case\::}}}$

• Cost price of one table (C.P) = Rs.1800
• He sold at on table loss = 8%
• Selling price = ?

A/q

Using formula of the selling price when become loss;

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

$\mapsto\sf{Selling\:price=\bigg(\dfrac{100-loss\% }{100} \times C.P.\bigg)}\\\\\\\mapsto\sf{Selling\:price=\bigg(\dfrac{100-8 }{\cancel{100}} \times 18\cancel{00} \bigg)}\\\\\\\mapsto\sf{Selling\:price=Rs.(92 \times 18)}\\\\\mapsto\bf{Selling\:price=Rs.1656}$

$\underbrace{\bf{2^{nd} \:Case\::}}}$

• Cost price of another table (C.P.) = Rs.1800
• Profit get = 12%
• Selling price of another table = ?

Using formula of the selling price become profit;

$\boxed{\bf{Selling\:price=\bigg(\frac{100+profit\%}{100} \times C.P.\bigg)}}}$

$\mapsto\sf{Selling\:price=\bigg(\dfrac{100+profit\% }{100} \times C.P.\bigg)}\\\\\\\mapsto\sf{Selling\:price=\bigg(\dfrac{100+12 }{\cancel{100}} \times 18\cancel{00} \bigg)}\\\\\\\mapsto\sf{Selling\:price=Rs.(112 \times 18)}\\\\\mapsto\bf{Selling\:price=Rs.2016}$

Now;

Total cost price of both tables = Rs.1800 + Rs.1800 = Rs.3600 .

Total selling price of both tables = Rs.1656 + Rs.2016 = Rs.3672 .

S.P.  > C.P.

As we know that formula of the profit;

$\longrightarrow\sf{Profit=Selling\:price - cost\:price}\\\\\longrightarrow\sf{Profit = Rs.3672 - Rs.3600}\\\\\longrightarrow\bf{Profit = Rs.72}$

Thus;

The total profit of the both tables will be Rs.72 .