Advertisements
Advertisements
Question
A shopkeeper allows 23% commision on his advertised price and still makes a profit of 10%. If he gains Rs 56 on one item, find his advertised price.
Advertisements
Solution
\[\text { Let the CP of the item be Rs . x } . \]
\[\text { Profit = 10 % }\]
\[\text { SP = CP }\left( \frac{100 + \text { Profit % }}{100} \right)\]
\[SP = x\left( \frac{110}{100} \right)\]
\[\text { SP = Rs . 1 . 1x }\]
\[\text { Again, Profit = SP - CP }\]
\[\text { Therefore, Profit = Rs } . (1 . 1x - x)\]
\[ = Rs . 0 . 1x\]
We get,
0 . 1x = 56
x = Rs . 560
\[\text { Now, the advertised price }= \frac{1 . 1x}{1 - 0 . 23}\]
\[ = Rs . \frac{560 \times 1 . 1}{0 . 77}\]
\[ = Rs . 800\]
Therefore, the advertised price of the item is Rs . 800 .
RELATED QUESTIONS
Ramesh bought two boxes for Rs 1300. He sold one box at a profit of 20% and the other box at a loss of 12%. If the selling price of both boxes is the same, find the cost price of each box.
The difference between two selling prices of a shirt at profits of 4% and 5% is Rs 6. Find
(i) C.P. of the shirt
(ii) the two selling prices of the shirt
Using the figures given below, frame problems based on profit percent or loss percent.
Cost price of 50 Kg grain ₹ 2000, selling price ₹ 43 per kg.
Using the figures given below, frame problems based on profit percent or loss percent.
Seeds worth ₹ 20500, labour ₹ 9700, chemicals and fertilizers ₹ 5600, selling price ₹ 28640.
Find the unknowns x, y and z.
| Name of the item | Marked Price | Selling Price | Discount |
| Book | ₹ 225 | x | 8% |
Find the unknowns x, y and z.
| Name of the item | Marked Price | Selling Price | Discount |
| LED TV | y | ₹ 11970 | 5% |
Gopi sold a laptop at 12% gain. If it had been sold for ₹ 1200 more, the gain would have been 20%. Find the cost price of the laptop
40% of [100 – 20% of 300] is equal to ______.
A dining table is purchased for Rs 3,200 and sold at a gain of 6%. If a customer pays sales tax at the rate of 5%. How much does the customer pay in all for the table?
A cricket bat was purchased for ₹ 800 and was sold for ₹ 1600. Then profit earned is ______.
