Question

a man sells an article at a profit of 20%.if he had bought it at 20% less and sold for Rs 5 less.he would have gained 25% .find the cost price of the article​

Answer 1

ANSWER..

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

= Rs. 175