Question

Hari bought two fans for Rs.2,400 each. He sold one at a loss of 10% and the other at a profit of 15%. Find the gain or loss percentage in the whole transaction.

the correct answer will get 20 points
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Answer 1

Given that:

• Hari bought two fans for Rs. 2,400 each.

To Find:

• The gain or loss percentage in the whole transaction.

Formula used:

• SP = {(100 - L)CP}/100
• SP' = {(100 + P)CP}/100
• SPₜ = SP + SP'
• CPₜ = 2 × CP
• Pₜ = SPₜ - CPₜ
• Pₜ % = (Pₜ × 100)/CPₜ %

Where,

• CP = Cost price of each fan
• SP = Selling price of one fan
• L = Loss on one fan
• SP' = Selling price of other fan
• P = Profit on other fan
• SPₜ = Total selling price
• CPₜ = Total cost price
• Pₜ = Overall gain
• Pₜ % = Overall gain percentage

Finding selling price of one fan:

↠ SP = {(100 - 10)2400}/100

↠ SP = (90)24

↠ SP = 2160

Finding selling price of other fan:

↠ SP' = {(100 + 15)2400}/100

↠ SP' = (115)24

↠ SP' = 2760

Finding the total selling price:

↠ SPₜ = 2160 + 2760

↠ SPₜ = 4920

Finding the total cost price:

↠ CPₜ = 2 × 2400

↠ CPₜ = 4800

Here, SPₜ > CPₜ,

↠ Pₜ = 4920 - 4800

↠ Pₜ = 120

Finding the gain percentage:

↠ Pₜ % = (120 × 100)/4800 %

↠ Pₜ % = 2.5 %

Hence,

• The gain percentage in the whole transaction is 2.5 %.

Answer 2

QUESTION-:

Hari bought two fans for Rs.2,400 each. He sold one at a loss of 10% and the other at a profit of 15%. Find the gain or loss percentage in the whole transaction.

EXPLANATION-:

Cost of 1 fan=Rs. 2400

Loss on 1st fan=10%

Profit on 2nd fan=15 %

We know-:

$\leadsto \underline{\boxed{\bf\; SP=\frac{100-Loss\;percentage}{100}\times CP }}\\\\\leadsto \underline{\boxed{\bf\; SP=\frac{100+Loss\;percentage}{100}\times CP }}$

For 1st fan-:

→SP=(100-10)/(100)×2400  

→ SP=90/100×2400  

→Rs.2160

For 2nd fan-:

→SP=(100+15)/(100)×2400  

→SP=115/100×2400  

→SP=Rs. 2760  

Now-:

=> Total SP=2160+2760

→ Total SP=Rs. 4920  

=>Total CP=2400+2400

→Total CP=4800  

So -:

SP>CP

Therefore ,it is case of profit

We know that-:

$\leadsto \underline{\boxed{\bf\; Profit\;percentage=\frac{Profit \times 100}{CP}}}$

Profit=4920-4800

Profit=120

Putting values in the formla-:

→Profit%=20×100/4800

→Profit %=120/48

→Profit %=2.5 %