Advertisements
Advertisements
Question
A shopkeeper allows his customers 10% off on the marked price of goods and still gets a profit of 25%. What is the actual cost to him of an article marked Rs 250?
Advertisements
Solution
\[\text { Let the CP of the article be Rs . x } . \]
\[\text { MP of the article = Rs } . 250\]
\[\text { Discount = 10 % } \]
\[\text { Discount = 10 % of } 250\]
\[ = 0 . 10 \times 250\]
\[ = \text {Rs . 25 }\]
\[\text { SP = MP - Discount }\]
\[ = 250 - 25\]
\[ = Rs . 225\]
\[\text { Given, } \]
\[\text { Profit = 25 % } \]
\[CP = \left[ \frac{100}{\left( 100 +\text { Gain % }\right)} \times SP \right]\]
\[x = \left[ \frac{100}{\left( 100 + 25 \right)} \times 225 \right]\]
\[ = \left[ \frac{100}{125} \times 225 \right]\]
\[ =\text { Rs }. 180\]
\[\text { Thus, the CP of the article is Rs } . 180 .\]
RELATED QUESTIONS
A fruit-seller buys oranges at 4 for Rs. 3 and sells them at 3 for Rs. 4 Find his profit percent.
A man sells 12 articles for Rs. 80 gaining `33 1/3%`. Find the number of articles bought by the man for Rs. 90.
A shop-keeper buys an article for Rs.450. He marks it at 20% above the cost price. Find :
(i) the marked price of the article.
(ii) the selling price, if he sells the articles at 10 percent discount.
(iii) the percentage discount given by him, if he sells the article for Rs.496.80
The selling price of a computer was fixed at Rs.32200 so as to give a profit of 15%. During a sale the price of the same computer was reduced to Rs.29960. Calculate the actual profit or loss during the scale.
Find the S.P. in the following:
M.P. =Rs. 850, Discount = 16%
A shopkeeper allows 20% discount on his article. What price must he mark on an article, which costs him Rs.1750, to make a profit of 20%?
Find the S.P. in the following :
M.P. = Rs.5500, Discount = 30%
Find the M.P. in the following :
S.P. = Rs.1245, Discount = 17%
Find the M.P. in the following :
S.P. = Rs.5343, Discount = 22%
Find discount in per cent when M.P. = Rs 625 and S.P. = Rs 562.50
