Advertisements
Advertisements
Question
A shopkeeper marks his goods at 40% above the cost price but allows a discount of 5% for cash payment to his customers. What actual profit does he make, if he receives Rs 1064 after paying the discount?
Advertisements
Solution
\[\text { Let the original cost price of the item be Rs . x } . \]
\[\text { MP = x } + \frac{40x}{100} = 1 . 4x\]
\[\text { Discount = MP - SP }\]
\[MP - \frac{\text { Discount % } \times MP}{100} = SP\]
\[1 . 4x - \frac{5 \times 1 . 4x}{100} = 1064\]
\[\frac{1 . 4x \times 100 - 5 \times 1 . 4x}{100} = 1064\]
\[\text { So, x }\left( 1 . 4 \right)\left( 0 . 95 \right) = 1064\]
\[x = \frac{1064}{\left( 1 . 4 \times 0 . 95 \right)}\]
\[ = \frac{1064}{1 . 33}\]
\[ = Rs . 800\]
\[\text { Profit = Rs } . (1064 - 800)\]
\[ = \text { Rs }. 264\]
\[\text { Thus, the actual profit by the shopkeeper is Rs } . 264 . \]
APPEARS IN
RELATED QUESTIONS
After allowing a discount of \[7\frac{1}{2}\]% on the marked price, an article is sold for Rs 555. Find its markd price.
A shopkeeper marks his goods in such a way that after allowing a discount of 25% on the marked price, he still makes a profit of 50%. Find the ratio of the C.P. to the M.P.
By selling a pair of earings at a discount of 25% on the marked price, a jeweller makes a profit of 16%. If the profit is Rs 48, what is the cost price? What is the marked price and the price at which the pair was eventually bought?
If the profit earned on selling an article for ₹ 810 is the same as loss on selling it for ₹ 530, then find the cost price of the article.
Vaidegi sold two sarees for ₹ 2200 each. On one she gains 10% and on the other she loses 12%. Find her total gain or loss percentage in the sale of the sarees
Muthu has a car worth ₹ 8,50,000 and he wants to sell it at a profit of ₹ 25,000. What should be the selling price of the car?
By selling an article for Rs 1,12,000 a girl gains 40%. The cost price of the article was ______.
C.P. = M.P. – Discount.
Harish bought a gas-chullah for ₹ 900 and later sold it to Archana at a profit of 5 per cent. Archana used it for a period of two years and later sold it to Babita at a loss of 20 per cent. For how much did Babita get it?
The marked price of an article is ₹ 2,000. The GST on the article is 12% and discount is ₹ 500, the total amount to be paid is ______.
