Question

A man buys spirit at rs. 60 per letter, adds water to it and then sells it at rs. 75 per litter. what is the ratio of spirit to water if his profit in the feal is 37.5%?

Answer 1

Answer:

Ratio of SPIRIT TO WATER = 10:1

Explanation:

Selling Price SP = Rs. 75

Profit P% = 37.5%

CP  = 60 / liter

therefore, CP as per profit ratio = 75 - [ 75*$\frac{37.5}{137.5}$ ]   = 54.54

Quantity of spirit to be bought from Rs 54.54 = $\frac{54.54}{60}$   = 0.909 liter

Quantity of water to be mixed with spirit (to get One liter Mixture) = 1 - 0.909 = 0.0909 liter

therefore, Ratio of SPIRIT TO WATER = 0.909 : 0.0909

= 10 : 1

Answer 2

Answer:

Step-by-step explanation:

Selling Price of the spirit = SP = Rs. 75  L (Given)

Cost price of the spirit = CP  = 60 L (Given)

Profit P% = 37.5%

Let the cost of resultant mixture be = Rs. 'c' per litre

Thus, 37.5% = 3/8th of a commodity, then

= C+(3/8)×c = 75

= 11/8 C =75

= C = 600/11

= 54.54

Thus, by using the allegation formula -

The two values will be 54.54 and 5.46

Required ratio

= 54.46/5.46

= 9.98

= 10:1

Thus, the required ratio is 10:1.