Question

Amar Babu sold a picture at 20% loss but he made a profit of 5% if he sold it with rupees 200 more than latest calculate and observe the cost price of the picture he has brought​

Answer 1

Answer:

• If there is Same Terms (Profit, Profit) or (Loss, Loss). Then we Subtract the Percentage.
• If there is Opposite Terms (Profit, Loss) or (Loss, Profit). Then we Add the Percentage.

$\underline{\bigstar\:\:\textsf{According to the Question :}}$

$:\implies\tt CP \times (Profit+Loss)\%=More/Less\\\\\\:\implies\tt CP \times (20 +5)\% = Rs.\:200\\\\\\:\implies\tt CP \times 25\% = Rs.\:200\\\\\\:\implies\tt CP \times \dfrac{25}{100} = Rs.\:200\\\\\\:\implies\tt CP \times \dfrac{1}{4} = Rs.\:200\\\\\\:\implies\tt CP = Rs.\:200 \times 4\\\\\\:\implies\underline{\boxed{\textsf{\textbf{CP = Rs. 800}}}}$

⠀

$\therefore\:\underline{\textsf{Cost Price of picture was \textbf{Rs. 800}}}.$

Answer 2

Given :-

• Main loss percentage = 20%

• Next profit percentage = 5% if SP becomes 200 more than previous SP.

To find :-

• Cost price of picture = ?

Solution :-

Let the cost price be Rs.M

So, at 20% loss, SP —

→ SP = CP - Loss

→ SP = M - 20% of M

→ SP = M - 20M/100

→ SP = M - M/5

→ SP = 5M - M/5

→ SP = Rs. 4M/5 -------- Equation (1)

Case 2:-

Now if SP was 200 more, profit percentage = 5%

Now at 5% profit :-

→ SP = CP + Profit

→ (SP + 200) = M + 5% of M

→ SP + 200 = M + 5M/100

→ SP + 200 = M + M/20

→ SP + 200 = 20M + M/20

→ SP + 200 = 21M/20

Now putting value from (Equation 1)

→ 4M/5 + 200 = 21M/20

→ (4M + 1000)/5 = 21M/20

→ 20(4M + 1000) = 5(21M)

→ 80M + 20000 = 105M

→ 105M - 80M = 20000

→ 25M = 20000

→ M = 20000/25

→ M = Rs.800

Therefore,

Cost price of picture is Rs.800 .