Linked Question
A pharmaceutical manufacturer has 120 litres of saline solution at 25% salt concentration. A production order requires the concentration to be raised to 40% by blending in a concentrated salt solution treated as 100% salt. How many litres of the concentrated solution must be added?
Step 1 — Starting salt. Salt of L. The non-salt part ( L) stays fixed since we only add salt concentrate.
Step 2 — Target equation. Let = litres of concentrate added:
Step 3 — Solve.
Answer: B (30 L).
Alternative approach (track the unchanged part). The non-salt liquid is fixed at L and must be the remaining of the final mixture, so final total L. Concentrate added L.
Haan, ratio se bilkul kar sakte ho — tumhara approach sahi direction mein hai. The key idea: only salt is being added, so the non-salt (water) part never changes. That fixed quantity is what makes the two ratios directly comparable.
Write both stages as salt : water.
Initially, salt gives salt : water . Finally, salt gives salt : water .
Because water is untouched, its actual amount is the same before and after. In both simplified ratios water is parts, so one "part" has the same size in both — that's exactly why comparing with directly is valid here. (Agar water ka part dono ratios mein alag hota, to pehle dono ko scale karke water parts equal karna padta.)
Now get the actual part size. Water present L. This is parts, so part L.
Salt initially part L; salt finally parts L. So concentrate added L.
Quick check: ✓
Final answer: B (30 L)