Question

Articles are bought at rupees 45 per dozen and sold at rupees 85 per score.find the gain or loss per cent

Answer 1

Given :-

Articles are bought at rupees 45 per dozen and sold at rupees 85 per score.

To find :-

The gain or loss percentage.

Solution :-

Given that

The cost price of a dozen articles

= Rs. 45

We know that

1 dozen = 12 articles

The cost price of 12 articles = Rs. 45

The cost price of 1 article = 45/12

= (3×15)/(3×4)

= 15/4

= Rs. 3.75

Therefore, The cost price of 1 article

= Rs. 3.75

The selling price of a score articles

= Rs. 85

We know that

1 score = 20 articles

The selling price of 20 articles = Rs. 85

The selling price of 1 article

= 85/20

= Rs. 4.25

Therefore, The selling price of 1 article

= Rs. 4.25

We have,

Cost Price = Rs. 3.75

Selling Price = Rs. 4.25

Selling Price > Cost Price

= Gain occurs

We know that

Gain = Selling Price- Cost Price

=> Gain = 4.25 - 3.75

=> Gain = 0.50

Therefore, Gain = Rs. 0.50

We know that

Gain% = (Gain/Cost Price)×100

=> G% = (0.50/3.75)×100

=> G% = [(50/100)/(375/100)]×100

=> G% = (50/375)×100

=> G% = (50×100)/375

=> G% = 5000/375

=> G% = 40/3% or 13 1/3 % or 13.33 %

Answer :-

The gain percentage is 40/3% (or)

13 1/3 % (or) 13.33 %

Used formulae:-

• Gain = Selling Price- Cost Price

• Gain % = (Gain/Cost Price)×100

• 1 dozen = 12 articles

• 1 score = 20 articles

Answer 2

UNDERSTANDING THE CONCEPT :-

• in this question, first we have to find the cost price of one article by dividing the given amount by 12 and the selling price of one article by dividing it by twenty. Then we have to find the gain by subtracting the cost price from the selling price and then we apply the formula of gain percent to find it.

SOLUTION :-

question we have given that the cost

of one dozen articles is rs 45

in one dozen there are twelve items

to find the cost price of one item we have

to divide it by twelve .

C.P of 12 articles = rs 45

C.P of 1 articles = 45/12

S.P of 20 article = rs 85

S.P of 1 articles = 85/20

Profit = SP - CP

85/20 - 45/12 = 4.25 - 3.75

= rs 0.50

PROFIT % = 0.50/3.75 × 100 = 13.33 %

Hence, profit percentage is

13.33 %

ADDITIONAL INFORMATION :-

• do not get confused in the formula of gain percent. We have to divide gain by the cost price not by selling price in order to find the gain percent. Also, in the formula we should take all the values in the same unit.