Question

Chandan bought 1600 bananas at Rs 3.75 a dozen.He sold 800 of them at 2 for Rs 5 and the reamaining at 6 for Rs 2.Find gain or loss percent​??​

Answer 1

Answer:

Given that

The cost of a dozen bananas = Rs. 3.75

Total number of bananas were bought

= 1600

We know that

12 objects = 1 dozen

1600 objects = 1600/12 dozen

=> 1600 objects = 400/3 dozen

The cost of 1600 bananas

=The cost of 400/3 dozen bananas

= (400×3.75)/3

= (4×375)/3

= 1500/3

= Rs. 500

The cost of 1600 bananas = Rs. 500

And

The selling price of 2 bananas = Rs. 5

The selling Price of 1 banana = Rs. 5/2

The selling price of 800 bananas

= (800×5)/2

= 400×5

= Rs. 2000

The selling price of 800 bananas

= Rs. 2000

Remaining bananas = 1600-800 = 800

The selling price of 6 bananas = Rs. 2

The selling price of 1 banana = Rs. 2/6

= Rs. 1/3

The selling price of 800 bananas

= 800 ×( 1/3)

= Rs. 800/3

Total Selling price of all 1600 bananas

= 2000+(800/3)

= (6000+800)/3

= Rs. 6800/3

We have ,

Total Selling Price of 1600 bananas

= Rs. 6800/3

Total cost price of 1600 bananas

= Rs. 500

Selling Price > Cost Price

=> Gain occurs

Chandan got gain .

We know that

Gain = Selling Price - Cost Price

=> Gain = (6800/3)-500

=> Gain = (6800-1500)/3

=> Gain = Rs. 5300/3

We know that

Gain % = (Gain/Cost Price)×100

=> G% = [(5300/3)/500]×100

=> G% = [5300/(3×500)]×100

=> G% = (5300/1500)×100

=> G% = (53/15)×100

=> G% = 5300/15

=> G% = 1060/3

=> G% = 353 1/3%

Answer :-

Chandan got 353 1/3% of gain percentage in the whole transaction

Used formulae:-

→ 1 dozen = 12 articles

→ Gain = Selling Price-Cost Price

→ Gain % = (Gain / Cost Price)×100

Answer 2

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Cost of 12 bananas = rs 3.75

cost of 1 banana = 3.75/12

cost of 1600 bananas = 1600*3.75/12= rs. 500

s p. of bananas

first case,

s.p. of 2 bananas = rs. 1

s.p. of 1 banana = rs. 0.5

s p. of 900 bananas = rs.0.5*900 = 450

second case,

no.of bananas = 1600-900 = 700

cost of 5 bananas = rs. 2

cost of 1 banana = rs.0.4

cost of 700 bananas = rs 0.4*700= 280

total selling price = 450+280

= 730

c.pSo, their is gain

gain percent = x

s.p.-c.p./c. p.*100 = x

730-500/500*100=x

230/500*100=46

x = 46%

Therefore, gain percent = 46%