Advertisements
Advertisements
Question
A lady shopkeeper allows her customers 10% discount on the marked price of the goods and still gets a profit of 25%. What is the cost price of a fan for her marked at Rs 1250?
Advertisements
Solution
\[\text { Given, } \]
\[\text { MP of the fan = Rs } . 1250\]
\[\text { Discount = 10 % } \]
\[\text { So, Discount = 10 % of } 1250\]
\[ = 0 . 10 \times 1250\]
\[ = Rs . 125\]
\[\text { Since SP = MP - Discount }, \]
\[\text { SP = Rs } . \left( 1250 - 125 \right)\]
\[ = Rs . 1125\]
\[\text { Now }, \]
\[\text { SP of the fan = Rs }. 1125\]
\[\text { Profit = 25 % } \]
\[CP = \left[ \frac{100}{\left( 100 + \text { Profit % }\right)} \times SP \right]\]
\[ = \left[ \frac{100}{125} \right]1125\]
\[ = Rs . 900\]
\[\text { Thus, the cost price of the fan is Rs } . 900 .\]
RELATED QUESTIONS
The cost of an article was Rs 15,500. Rs 450 were spent on its repairs. If it is sold for a profit of 15%, find the selling price of the article
A retailer buys a cooler for Rs 1200 and overhead expenses on it are Rs 40. If he sells the cooler for Rs 1550, determine his profit percent.
The total bill amount of a shirt costing ₹ 575 and a T-shirt costing ₹ 325 with GST of 5% is _______
A man buys an article for ₹ 150 and makes overhead expenses which are 12% of the cost price. At what price must he sell it to gain 5%?
Avinash bought an electric iron for Rs 900 and sold it at a gain of 10%. He sold another electric iron at 5% loss which was bought Rs 1200. On the transaction he has a ______.
5% sales tax is charged on an article marked Rs 200 after allowing a discount of 5%, then the amount payable is ______.
The buying price of 5 kg of flour with the rate Rs 20 per kg, when 5% ST is added on the purchase is Rs 21.
If a chair is bought for ₹ 2000 and is sold at a gain of 10%, then selling price of the chair is ₹ 2010.
A person wanted to sell a scooter at a loss of 25%. But at the last moment he changed his mind and sold the scooter at a loss of 20%. If the difference in the two SP’s is ₹ 4000, then find the CP of the scooter.
Match the entries in Column I with the appropriate entries in Column II:
| Column I | Column II |
| (i) 3:5 | (A) ₹ 54 |
| (ii) 2.5 | (B) ₹ 47 |
| (iii) 100% | (C) ₹ 53 |
| (iv) `2/3` | (D) ₹ 160 |
| (v) `6 1/4%` | (E) 60% |
| (vi) 12.5% | (F) 25% |
| (vii) SP when CP = ₹ 50 and loss = 6 % | (G) `1/16` |
| (viii) SP when CP = ₹ 50 and profit = ₹ 4 | (H) 250% |
| (ix) Profit% when CP = ₹ 40 and SP = ₹ 50 | (I) ₹ 159 |
| (x) Profit% when CP = ₹ 50 and SP = ₹ 60 | (J) `66 2/3%` |
| (xi) Interest when principal = ₹ 800, Rate of interest = 10% per annum nd period = 2 years |
(K) 20% |
| (xii) Amount when principal = ₹ 150, Rate of interest = 6% per annum and period = 1 year |
(L) 0.125 |
| (M) 3 : 2 | |
| (N) ₹ 164 | |
| (O) 3 : 3 |
