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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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