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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
\[\text { Given }, \]
\[\text { MP of an article = Rs } . 500\]
\[\text { Discount = 20 % } \]
\[\text { Therefore, Discount = 20 % of } 500\]
\[ = 0 . 20 \times 500\]
\[ = 100\]
\[\text { So, SP = MP - Discount }\]
\[ =\text { Rs } . (500 - 100)\]
\[ = \text { Rs } . 400\]
\[\text { CP } = \left[ \frac{100}{\left( 100 +\text { Gain % } \right)} \times\text { SP } \right]\]
\[ = \left[ \frac{100}{\left( 100 + 25 \right)} \times 400 \right]\]
\[ = \frac{40000}{125}\]
\[ = Rs . 320\]
\[\text { Thus, the actual cost of the article is Rs } . 320 .\]
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On the eve of Gandhi Jayanti a saree is sold for Rs 720 after allowing 20% discount. What is its marked price?
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Using the figures given below, frame problems based on profit percent or loss percent.
Cost price of 8 articles is ₹ 1200 each, selling price ₹ 1400 each.
Fill up the appropriate boxes in the following table
| SI. No | C.P. in ₹ |
S.P. in ₹ |
Profit in ₹ |
Loss in ₹ |
| (i) | 100 | 120 | ||
| (ii) | 110 | 120 | ||
| (iii) | 120 | 20 | ||
| (iv) | 100 | 90 | ||
| (v) | 120 | 25 |
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A man purchased a bicycle for Rs 1,040 and sold it for Rs 800. His gain per cent is 30%.
A store is having a 25% discount sale. Sheela has a Rs 50 gift voucher and wants to use it to buy a board game marked for Rs 320. She is not sure how to calculate the concession she will get. The sales clerk has suggested two ways to calculate the amount payable.
- Method 1: Subtract Rs 50 from the price and take 25% off the resulting price.
- Method 2: Take 25% off the original price and then subtract Rs 50.
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- For each method, calculate the amount Sheela would have to pay. Show your work.
- Which method do you think stores actually use? Why?
On selling an article for ₹ 329, a dealer lost 6%. The cost price of the article is ______.
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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 |
