Question

By selling two electric room heaters for 3240 each, Harsh makes a profit of 8% on one and a loss of 10% on the other. Find the total loss or gain%

Plss give answer in pic​

Answer 1

Answer:

Loss% = 20/11 % or 1 9/11 % or 1.81 %

Step-by-step explanation:

Given :-

By selling two electric room heaters for 3240 each, Harsh makes a profit of 8% on one and a loss of 10% on the other.

To find :-

Find the total loss or gain% ?

Solution :-

Given that The Selling Price of two electric heaters = Rs. 3240 each.

The Selling Price of the first heater

= Rs. 3240

Profit on it = 8%

We know that

Cost Price = (100×SP)/(100+g)

=> Cost Price = (100×3240)/(100+8)

=> Cost Price = 324000/108

=> Cost Price = 3000

Cost Price of the first heater = Rs. 3000

The Selling Price of the second heater

= Rs.3240

Loss on it = 10%

We know that

Cost Price = (100×SP)/(100-l)

=> Cost Price = (100×3240)/(100-10)

=> Cost Price = 324000/90

=> Cost Price = 3600

Cost Price of the second heater

= Rs. 3600

Total Cost Price of two heaters

= 3000+3600

= Rs. 6600

Total Selling Price of two heaters

= 3240+ 3240

= Rs. 6480

We have, CP = Rs. 6600 and

SP = Rs. 6480

CP > SP

=> Loss = CP - SP

=> Loss = 6600-6480

=> Loss = Rs. 120

We know that

Loss % = (Loss / CP ) × 100

=> Loss % = (120/6600)×100

=> Loss % = 120/66

=> Loss % = 20/11 % (or)

=> Loss % = 1 9/11 % (or)

=> Loss % = 1.81 %

Answer :-

The Loss percentage on the whole transaction by Harsh is 20/11 % ( or )

1 9/11 % ( or ) 1.81 %

Used formulae:-

→ Loss = CP - SP

→ Loss % = (Loss / CP ) × 100

→ Cost Price = (100×SP)/(100-l)

→ Cost Price = (100×SP)/(100+g)

• CP = Cost Price
• SP = Selling Price
• g = gain
• l = loss

Answer 2

Answer:

Total Loss% = 1.82%

Step-by-step explanation:

Selling Price of electric room heater = ₹3240

Total selling price of two electric room heater = ₹3240 + ₹3240 = ₹6480

Profit made on first electric room heater = 8%

So, Cost price of first electric room heater = $\rm \dfrac{100}{100 + Profit \%} \times Selling Price \\\\ = \rm \dfrac{100}{100 + 8} \times 3240 \\\\ = \rm \dfrac{100}{108} \times 3240 \\\\ = \rm 100 \times 30 \\\\ = ₹ 3000$

Loss made on second electric room heater = 10%

So, Cost price of second electric room heater = $\rm \dfrac{100}{100 - Loss \%} \times Selling Price \\\\ = \rm \dfrac{100}{100 - 10} \times 3240 \\\\ = \rm \dfrac{100}{90} \times 3240 \\\\ = \rm 100 \times 36 \\\\ = ₹ 3600$

$\therefore$ Total cost price of two electric room heater = ₹3000 + ₹ 3600 = ₹6600

As we can see cost price is more than selling price. Therefore, Harsh have made a loss altogether.

Loss = Cost Price - Selling Price

= 6600 - 6480

= ₹120

Total Loss% = $\rm \dfrac{Loss}{Cost Price} \times 100$

= $\rm \dfrac{120}{6600} \times 100$

= 20/11%

= 1.82%