After allowing a discount of $20 %$ on the marked price of a lamp, a trader loses $10 %$ . By what percentage is the marked price above the cost price?

Open in App

Solution

Rate of discount $= 20 %$
Loss $= 10 %$
Let the cost price of the lamp = Rs. 100
Loss $= 10 %$
\therefore Selling price = Rs. 100 - 10 = Rs. 90
Rate of discount $= 20 %$
$∴$ Marked price (M.P) $= \frac{S . P \times 100}{100 - d i s c o u n t %}$
$= \frac{90 \times 100}{100 - 20} = \frac{90 \times 100}{80} = R s . \frac{225}{2} = R s . 112.50$
$∴$ Difference in M.P and C.P = Rs. 112.50 - Rs. 100 = Rs. 12.50
$∴$ Percentage of difference
$= \frac{12.50 \times 100}{100} = 12.50 % = 12.5 %$

Suggest Corrections

Similar questions

After allowing a discount of $10 %$ on the marked price, a trader still makes a gain of $17 % .$ By what percent is the marked price above the cost price?

Q. A trader marks his goods at

40

% above the cost price but allows a discount of

20

% on the marked price. His profit percentage is

Q. Even after a discount of q% on marked price a trader gains by p%. What is the markup percentage over the cost price?

Q. A trader marks his goods at

50 %

above the cost price but allows a discount of

20 %

on the marked price. The profit per cent is.

Q. A trader marks his goods

20 %

above the cost and allow discount of

10 %

. Calculate the selling price of an article whose marked price is Rs.

500

Join BYJU'S Learning Program

After allowing a discount of 20% on the marked price of a lamp, a trader loses 10%. By what percentage is the marked price above the cost price?

After allowing a discount of $20 %$ on the marked price of a lamp, a trader loses $10 %$ . By what percentage is the marked price above the cost price?