In 80 ml of syrup, Ibuprofen and paracetamol are in the ratio of 2 : 3. This syrup is mixed with 120 ml of another syrup of ibuprofen and paracetamol. In the resultant syrup, paracetamol is 61.5%. Then find out the ratio of paracetamol and ibuprofen in 120 ml syrup.
Answer & explanation
Correct answer: option 3
80 ml 120 ml
Syrup A Syrup B
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↓ ↓ ↓ ↓
ratio of I P I P
ratio 2 : 3 ? : ?
quantity 32 48
5R = 80 So, 2R = 32 ml & 3R = 48 ml
Resultant syrup = Syrup C (80 ml + 120 ml = 200 ml)
ratio of P I
61 .5 % 39.5 % ( given )
200 × 61.5% = 123 ml 200 × 39.5% - 77ml
Quantity of paracetamol in 120 ml of syrup is = 123 - 48 = 75 ml
Quantity of Ibuprofen in 120 ml of syrup is = 77 - 32 = 45 ml
120 ml syrup B
ratio I : P
45 : 75
3 : 5
Hence the required ratio in syrup B is 5 : 3