Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Numbers, Quantification and Numerical Applications

Question:

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?

Options:

1 : 5

3 : 5

1 : 7

2 : 9

Correct Answer:

1 : 7

Explanation:

The correct answer is Option (3) → 1 : 7

Cost of honey $=320$ per litre

Cost of water $=0$ per litre

Cost of syrup $=280$ per litre

Using allegation method

$320\;\;\;\;\;\;\;\;\;280\;\;\;\;\;\;\;\;\;0$

Difference between extremes

$320-280=40$

$280-0=280$

Ratio of honey to water

$=280:40$

$=7:1$

Water must be added in the ratio $1:7$ to honey.