To find Marked price when discount percent and Sale price are known (Problem-12: Discount)

Q. During a sale, a shopkeeper reduced the price of all goods by 10%. Calculate the marked price, if an item is sold for Rs. 4500.


Given:


S.P = Rs. 4500
Discount = 10 %
 

To Find:


M.P = ?

Solution:

Since 

S.P = M.P - Discount

Where discount is determined on M.P, therefore

Discount = 10 % of M.P

thus

S.P = M.P - 10 % of M.P

S.P = M.P - `frac {10}{100}` M.P

S.P = (1- `frac {10}{100}`) M.P


S.P = (`frac {100 - 10}{100}`) M.P

S.P = (`frac {90}{100}`) M.P

or

M.P = (`frac {100}{90}`) S.P

M.P = (`frac {100}{90}`) Rs.4500

M.P = Rs.5000 ----------------Ans.



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