To find the selling price, we use the profit formula: Selling Price = Cost Price + Profit, where profit is calculated as a percentage of the cost price.
Step 1: Identify given information
Cost Price (C.P.) = Rs. 80
Profit % = 37.5%
Step 2: Convert profit percentage to a fraction
Step 3: Calculate profit amount
Step 4: Calculate selling price
Answer: The selling price is Rs. 110 (Option A)
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Quick Check: Using the formula \(\text{S.P.} = \text{C.P.} \left(1 + \frac{\text{Profit}\%}{100}\right) = 80 \left(1 + 0.375\right) = 80 \times 1.375 = 110\) ✓
Combined rate = 1/12 + 1/18 = 3/36 + 2/36 = 5/36. Time = 36/5 = 7.2 days.
Net rate = 1/6 - 1/10 = 5/30 - 3/30 = 2/30 = 1/15. Time = 15 hours.
SI = (P × R × T) / 100 = (5000 × 8 × 2.5) / 100 = 100000/100 = Rs. 1000.
Downstream speed = 48/4 = 12 km/h. Upstream speed = 48/6 = 8 km/h. Current speed = (12 - 8)/2 = 2 km/h.
Amount = P(1 + R/100)^T = 10000(1.1)^2 = 10000 × 1.21 = Rs. 12100.
Let original number = x. x × 1.15 = 575. x = 575/1.15 = 500.
CP = 50 × 3 = 150. SP = 50 × 3.5 = 175. Profit % = (25/150) × 100 = 16.67%.
Downstream = 15 + 3 = 18. Upstream = 15 - 3 = 12. Ratio = 18:12 = 3:2.
Work = Workers × Days = 75 × 120 = 9000. Days = 9000/90 = 100 days.
