A dealer of scientific instruments allows a 20% discount and still makes a profit of 25%. If his gain on the sale of an instrument is ₹150, then find the marked price of the instrument.

Question

Accepted Answer

Let the Cost Price (C.P.) of the instrument be ₹100.
Profit = 25% of ₹100 = ₹25.
Selling Price (S.P.) = ₹100 + ₹25 = ₹125.

If the actual profit is ₹150, calculate the actual Cost Price:
C.P.
=
100
25
×
150
=
₹
600
C.P.= 
25
100
 ×150=₹600.

The Selling Price for this Cost Price is:
S.P.
=
₹
600
+
₹
150
=
₹
750
S.P.=₹600+₹150=₹750.

Let the Marked Price (M.P.) be ₹100. After a discount of 20%, S.P. = ₹80:
M.P.
=
100
80
×
₹
750
=
₹
937.50
M.P.= 
80
100
 ×₹750=₹937.50.

Thus, the marked price of the instrument is ₹937.50.

Answer

Answer

Answer