Rohit buys an item at $25 %$ discount on the marked price. He sells it for Rs. 660, making a profit of $10 %$ . What is the marked price of the item?

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Solution

Rate of discount $= 25 %$
Selling price (S.P) for Rohit = Rs. 660
Profit $= 10 %$
\therefore Cost price for Rohit $= \frac{S . P \times 100}{100 + g a i n %}$
$= R s . \frac{660 \times 100}{100 + 10} = R s . \frac{660 \times 100}{110} = 600$
Or selling price of the item = Rs. 600
Discount $= 25 %$
\therefore Marked price $= \frac{S . P \times 100}{100 - d i s c o u n t %}$
$= \frac{600 \times 1}{100 - 25} = \frac{600 \times 100}{75} = R s . 800$

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Rohit buys an item at 25% discount on the marked price. He sells it for Rs. 660, making a profit of 10%. What is the marked price of the item?

Rate of discount =25% Selling price (S.P) for Rohit = Rs. 660 Profit =10% \therefore Cost price for Rohit =S.P×100100+gain% =Rs.660×100100+10=Rs.660×100110=600 Or selling price of the item = Rs. 600 Discount =25% \therefore Marked price =S.P×100100−discount% =600×1100−25=600×10075=Rs.800

Rohit buys an item at $25 %$ discount on the marked price. He sells it for Rs. 660, making a profit of $10 %$ . What is the marked price of the item?