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प्रश्न
A shopkeeper allows 20% 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 500?
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उत्तर
\[\text { Given }, \]
\[\text { MP of an article = Rs } . 500\]
\[\text { Discount = 20 % } \]
\[\text { Therefore, Discount = 20 % of } 500\]
\[ = 0 . 20 \times 500\]
\[ = 100\]
\[\text { So, SP = MP - Discount }\]
\[ =\text { Rs } . (500 - 100)\]
\[ = \text { Rs } . 400\]
\[\text { CP } = \left[ \frac{100}{\left( 100 +\text { Gain % } \right)} \times\text { SP } \right]\]
\[ = \left[ \frac{100}{\left( 100 + 25 \right)} \times 400 \right]\]
\[ = \frac{40000}{125}\]
\[ = Rs . 320\]
\[\text { Thus, the actual cost of the article is Rs } . 320 .\]
संबंधित प्रश्न
Juhi sells a washing machine for ₹ 13,500. She loses 20% in the bargain. What was the price at which she bought it?
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.
Pramod bought 100 bunches of methi greens for Rs 400. In a sudden downpour, 30 of the bunches on his handcart got spoilt. He sold the rest at the rate of Rs 5 each. Did he make a profit or a loss? How much?
Hamidbhai bought bananas worth 2000 rupees and sold them all for 1890 rupees. Did he make a profit or a loss? How much was it?
Find the total bill amount for the data given below:
| Name of the item | Marked Price | Discount | GST |
| Hair dryer | ₹ 2000 | 10% | 28% |
Amutha marked her home product of pickle as ₹ 300 per pack. But she sold it for only ₹ 275 per pack. What was the discount offered by her per pack?
By selling an article for Rs 1,12,000 a girl gains 40%. The cost price of the article was ______.
By selling a book for ₹ 50, a shopkeeper suffers a loss of 10%. The cost price of the book is ₹ 60.
The cost of a flower vase got increased by 12%. If the current cost is ₹ 896, what was its original cost?
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 |
