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We are given:
Total solution = 8 litres
Acid concentration = 20%
We are to find: how many litres of pure acid are present in this solution.
🧠 Concept:
To find the amount of pure acid in a solution:
Pure acid=Percentage strength×Total volume\text{Pure acid} = \text{Percentage strength} \times \text{Total volume}
🔢 Step-by-step Calculation:
Pure acid=20100×8=0.2×8=1.6 litres\text{Pure acid} = \frac{20}{100} × 8 = 0.2 × 8 = 1.6 \text{ litres}
✅ Final Answer:
There are 1.6 litres of pure acid in 8 litres of a 20% solution.
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We are given:
Kamal invested ₹9000 for 12 months
Sameer invested ₹8000 but joined after 5 months ⇒ so he invested for (12 − 5) = 7 months
Total profit = ₹6970
We are to find Sameer’s share of the profit
—
🟢 Step 1: Calculate profit-sharing ratio
Profit is shared in the ratio of (Capital × Time)
Kamal’s share = 9000 × 12 = 108000
Sameer’s share = 8000 × 7 = 56000
Now simplify the ratio:
Kamal : Sameer = 108000 : 56000
Divide both by 1000 ⇒ 108 : 56
Simplify further: divide both by 4 ⇒ 27 : 14
So the profit-sharing ratio is:
➡️ Kamal : Sameer = 27 : 14
—
🟢 Step 2: Total parts = 27 + 14 = 41 parts
Sameer’s share = (14 / 41) × 6970
Now calculate:
1441×6970=9758041=2380\frac{14}{41} × 6970 = \frac{97580}{41} = 2380
✅ Final Answer:
Sameer’s share of the profit is ₹2,380.