Question

A man sells 12 articles for ₹80 gaining 33 1/3 %.find the number of articles bought by the man for ₹90.

Answer 1

let the cost price of 12 articles be 'x '

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selling price of 12 articles = ₹80

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Find the gain:
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gain = 33 1/ 3 % = 100/ 3 %

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gain = 100 / 3 % of x

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= 100x / 3 × 100 = ₹ x / 3

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cost price + gain = selling price

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x + ( x / 3 ) = 80

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3x + x = 240

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4x = 240 => x = ₹60

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cost price of 12 articles = ₹60

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Find the cost of 1 article:
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cost price of 1 article = 60/ 12= ₹ 5

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Required articles:
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number of articles bought by the man for ₹90

= 90 / 5 = 18 articles

.
Answer: required articles = 18

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