Question

A certain brand soap-powder is sold at ₹15 per packet. It costs ₹144 a dozen. what is the profit or loss in per cent on 8 dozen packet?

Answer 1

Question:-

A certain brand soap-powder is sold at ₹15 per packet. It costs ₹144 a dozen. what is the profit or loss in percent on 8 dozen packet?

Solution:-

Given:- a) A certain brand soap-powder is sold at ₹15 per packet.

b) It costs ₹144 a dozen.

Find :- profit or loss in percent on 8 dozen packet ?

Now,

we know that 1 dozen mean's 12 packets of soap-powder

so,hence

1 dozen = 12 packets of soap-powder

from given ( a )

Cost of 12 packets of soap-powder OR

one dozen of soap-poweder packets

= ₹(12 × cost of one packet)

= ₹(12 × 15)

= ₹ 180 ........... ( 1 )

from given ( b ) & ( 1 )

cost price of 8 dozen soap-powder

packets = ₹ (8 × 144) = ₹ 1152 ....( 3 )

selling price of 8 dozen soap-powder packets = ₹ (8 × 180)

= ₹ 1440 ....( 4 )

From ( 3 ) and ( 4 )

we know selling price > cost price

so its a profit

=> Profit = selling price - cost price

=> Profit = ₹ ( 1440 - 1152 )

=> Profit = ₹ 288

=> Profit percentage

= ( profit / cost price ) × 100

=> Profit percentage

= (288/1152)×100

=> Profit percentage

= ( 1/4 )×100

=> Profit percentage

= 0.25 × 100

=> Profit Percentage

= 25 %

Hence profit is ₹ 288 and profit percentage 25 % on 8 dozen

soap-powder packets.

i hope it helps you.

Answer 2

• Total profit percent is equal to 25%.

Given :- A certain brand soap - powder is sold at ₹15 per packet. It costs ₹144 a dozen.

To Find :- Total profit or loss percentage .

Formula used :-

• When selling price (SP) is greater than cost price (CP) , the seller has profit .
• When selling price (SP) is less than cost price (CP) , the seller has loss .
• Profit / Loss % = (Profit / Loss in Rs. × 100) ÷ CP
• 1 dozen = 12 items .

Solution :-

given that,

→ Cost of 1 dozen of soap powder packet = ₹144

So,

→ Cost of 8 dozen of soap powder packets = 8 × Cost of 1 dozen of soap powder packet = 8 × 144 = ₹1152

now,

→ Selling price of 1 soap powder packet = ₹15

→ Selling price of 8 dozen soap powder packets = (8 × 12) × Selling price of 1 soap powder packet = 96 × 15 = ₹1440

as we can see that,

→ ₹1440 > ₹1152

→ Selling price of 8 dozen soap powder packets > Cost of 8 dozen of soap powder packets .

therefore,

→ Total profit = SP - CP

→ Total profit = 1440 - 1152 = ₹288

hence,

→ Profit % = (Total profit × 100) ÷ CP

→ Profit % = (288 × 100) ÷ 1152

→ Profit % = (288 × 100) ÷ (4 × 288)

→ Profit % = 100 ÷ 4

→ Profit % = 25% (Ans.)

∴ The profit percent is equal to 25%.

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