CUET Mathematics 2026 19th May Shift 2 PYQs

A bottle is full of antiseptic liquid. One third of it is taken out and then an equal amount of water is poured into the bottle to fill it. This process is repeated three times. If the final ratio of antiseptic liquid and water is $\frac{p}{q}$, where $\gcd(p,q)=1$, then $(p+q)$ is

In what ratio water be added to dilute honey costing ₹120 per litre so that the resulting syrup would be worth ₹100 per litre?

In what ratio, water must be added to dilute honey costing ₹ 320 per liter so that the resulted syrup would be worth ₹ 280 per liter?