A man sells an article at a profit of 25%. If he had bought it at 20% less and sold it for Rs 36.75 less, he would have gained 30%. Find the cost price of the article.
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TRISHNADEVI
TRISHNADEVIMaths AryaBhatta
HERE IS YOUR ANSWER..⬇⬇
\boxed{SOLUTION} ➡
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
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