Question

16. A man sells an article at a profit of 25%. If he had bought it at 20% less and sold it
Rs 36.75 less, he would have gained 30%. Find the cost price of the article.
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Answer 1

Let,

Cost price of the article = Rs.X

25% profit

Then

Selling price of the article = Rs.(X+25% of X)

= Rs.125 X / 100

If he bought it 20% less,

Then

Cost price of the article = Rs.(X - 20% of X)

= Rs.80X / 100

If he had sold it Rs. 36.75 less,

Then

Selling price of the article = Rs. (125X/100 - 36.75)

= Rs. 125 X - 3675 / 100

Gain = Rs. (125 X - 3675/100) - 80X/100

= Rs. (125X - 3675 - 80X / 100)

= Rs. (45X - 3675/100)

A.T.Q.,

45X - 3675/100 / 80X/100 × 100 = 30 [°•°Gain percent = 30%, given]

=> 45X - 3675/100 × 100/80X × 100 = 30

=> (45X - 3675) × 100/80X = 30

=> 4500X - 367500/80X = 30

=> 4500X - 367500 = 2400X

=> 4500X - 2400 = 367500

=>2100X = 367500

=> X = 367500/2100

=>X = 175

•°• Cost price of the article = Rs. 175

Answer 2

rupees 175 is answer .......