Pure milk costs Rs. 20 per litre. After adding water the milkman sells the mixture at the rate of Rs. 18 per litre, thereby making a profit of 25%. In what ratio does he mix the two?

A 18:7

B 18:9

C 12:7

D 12:11

E None of these

Solution

Correct Answer: Option A

SP of mixture = Rs. 18 / kg

Profit % = 25

CP of mixture = (SP × 100) / (100 + profit%)

⇒ CP of mixture = (18 × 100) / (100+25)

⇒ CP of mixture = 1800 / 125 = Rs. 14.4

Now, Since the CP of pure milk = Rs.20/ kg

CP of pure Milk                                                                                  CP of Water
    20                                                                                                          0

                                    CP of mixture = 14.4

= 14.4 – 0 = 14.4                                                                                20 – 14.4 = 5.6

Hence, the ratio of milk : water = 14.4 : 5.6

= 18 : 7

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