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Find the gain or loss per cent when : (...

Find the gain or loss per cent when : (i) CP=Rs. 620 and SP = Rs. 713 (ii) CP=Rs.675 and SP = Rs. 630 (iii) CP=Rs.345 and SP = Rs.372.60 : (iv) CP= Rs.80 and SP = 76.80

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To find the gain or loss percentage for the given cost price (CP) and selling price (SP) values, we will follow these steps for each part of the question. ### Part (i) **Given:** - CP = Rs. 620 - SP = Rs. 713 **Step 1: Calculate Gain** \[ \text{Gain} = \text{SP} - \text{CP} \] \[ \text{Gain} = 713 - 620 = 93 \] **Step 2: Calculate Gain Percentage** \[ \text{Gain Percentage} = \left( \frac{\text{Gain}}{\text{CP}} \right) \times 100 \] \[ \text{Gain Percentage} = \left( \frac{93}{620} \right) \times 100 \] \[ \text{Gain Percentage} = 15\% \] ### Part (ii) **Given:** - CP = Rs. 675 - SP = Rs. 630 **Step 1: Calculate Loss** \[ \text{Loss} = \text{CP} - \text{SP} \] \[ \text{Loss} = 675 - 630 = 45 \] **Step 2: Calculate Loss Percentage** \[ \text{Loss Percentage} = \left( \frac{\text{Loss}}{\text{CP}} \right) \times 100 \] \[ \text{Loss Percentage} = \left( \frac{45}{675} \right) \times 100 \] \[ \text{Loss Percentage} = 6.67\% \] ### Part (iii) **Given:** - CP = Rs. 345 - SP = Rs. 372.60 **Step 1: Calculate Gain** \[ \text{Gain} = \text{SP} - \text{CP} \] \[ \text{Gain} = 372.60 - 345 = 27.60 \] **Step 2: Calculate Gain Percentage** \[ \text{Gain Percentage} = \left( \frac{\text{Gain}}{\text{CP}} \right) \times 100 \] \[ \text{Gain Percentage} = \left( \frac{27.60}{345} \right) \times 100 \] \[ \text{Gain Percentage} = 8\% \] ### Part (iv) **Given:** - CP = Rs. 80 - SP = Rs. 76.80 **Step 1: Calculate Loss** \[ \text{Loss} = \text{CP} - \text{SP} \] \[ \text{Loss} = 80 - 76.80 = 3.20 \] **Step 2: Calculate Loss Percentage** \[ \text{Loss Percentage} = \left( \frac{\text{Loss}}{\text{CP}} \right) \times 100 \] \[ \text{Loss Percentage} = \left( \frac{3.20}{80} \right) \times 100 \] \[ \text{Loss Percentage} = 4\% \] ### Summary of Results: 1. Gain Percentage for (i): 15% 2. Loss Percentage for (ii): 6.67% 3. Gain Percentage for (iii): 8% 4. Loss Percentage for (iv): 4%
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RS AGGARWAL-PROFIT AND LOSS -EXERCISE 10A
  1. Find the gain or loss per cent when : (i) CP=Rs. 620 and SP = Rs. 713...

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  2. Find the selling price when : (i) CP = Rs. 1650 and gain = 4% (i...

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  3. Find the cost price when : (i) SP=Rs. 1596 and gain = 12% (ii) SP=...

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  4. Manjit bought an iron safe for Rs. 12160 and paid Rs. 340 for its tran...

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  5. Robin purchased an old car for Rs.73500. He spent Rs.10300 on repairs ...

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  7. Coffe costing Rs. 250 per kg was mixed with chicory costing Rs. 75 per...

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  8. If the selling price of 16 water bottles is equal to the cost price of...

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  9. The cost price of 12 candles is equal to the selling price of 15 candl...

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  10. By selling 130 cassetes, a man gains an amount equal to the selling pr...

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  11. By selling 45 lemons, a vendor loses a sum equal to the selling price...

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  12. Oranges are bought at 6 for Rs. 20 and sold at 4 for Rs. 18. Find the ...

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  13. A vendor purchased bananas at Rs. 40 per dozen and sold them at 10 for...

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  14. A man bought apples at 10 for Rs. 75 and sold them at Rs.75 per dozen...

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  15. A man purchsed some eggs at 3 for Rs. 16 and sold them at 5 for Rs.36 ...

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  16. A dealer sold camera for Rs. 1080 gaining 1/8 of its cost price. Find...

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  17. Meenakshi sells a pen for Rs.54 and loses 1/10 of her outlay. Find (i)...

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  18. A dealer gets Rs. 940 more if instead of selling a table at a loss of ...

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  19. A dealer gets Rs.56 less if instead of selling a chair at a gain of 15...

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  20. A cycle was sold at a gain of 10%. Had it been sold for Rs. 260 more, ...

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