Question

5. Articles are brought at Rs 45 per dozen and sold at Rs 85 per score. Find the gain or loss percent
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Answer 1

$\begin{gathered} {\huge\underline{\underline{\text{Solution:}}}} \\ \end{gathered}$

Cost price of 1 Dozen Article s = Rs. 45

$\sf \: cost \: price \: of \: 1 \: articles \: = \\ \\ Rs\cancel\dfrac{45}{12} = Rs \: 3.75 \: \sf \: (.1 \: dozen \: \: = 12numbers) \\ \\ \sf \: 1score = 20 \: numbers$

Selling Price of 1 Score Article is = Rs.85

$\sf \: selling \: price \: of \: 1 \: article \: is \: = \\ \\ Rs. \frac{85}{20} = Rs \: 4.25$

Selling price of one Article is greater than Cost price of 1 Article , So their is gain :-

$\sf \: gain \: percent \: = \\ \\ \frac{selling \: price - cost \: price}{cost \: price} \times 100$

$\sf \: therefore \: gain \: percent \: is \: = \\ \\ \frac{4.25 - 3.75}{3.75} \times 100 \\ \\ = \frac{0.50}{3.75} \times 100 = 13.33 \: percent$

Answer 2

We know,

1 Dozen = 12 units

1 score = 20 units

Given:-

Cost Price of 12 articles = Rs 45

Cost Price of 1 article = Rs 45/12 = Rs 3.75

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Selling price of 20 articles = Rs 85

Selling price of 1 article = Rs 85/20 = Rs 4.25

To Find:-

• Gain or loss percent .

Selling price is greater than the cost price. therefore, Gain .

__________________

Gain = S.P - C.P

= Rs (4.25 - 3.75)

= Rs 0.5

__________________

Gain % = (gain × 100)/C.P %

= (0.5 × 100)/3.75 %

= 50/3.75 %

= 13.33 % approx.

______________________

Hence,

• The gain percent is 13.33%