Question

A milkman buys 15 litres milk partly at the rate of 12 per litre and remaining at the rate of 14 perlitre. By selling the whole milk at the rate of 15 per litre he has gained 12 %. Find the separate mlik​

Answer 1

Answer:4.5 litre and 10.5litre

Step-by-step explanation:

Total milk=15 litre

Let he bought x litre at Rs12/litre.

And (15-x) litre at Rs 14 per litre.

SP per litre =Rs 15/litre

Gain%=12%

Total CP=Rs{12×x+14(15-x)}

=Rs{12x+210-14x) = Rs (210-2x)

Total SP=15×15=Rs 225

Gain= SP-CP

=Rs{225-(210-2x)}=Rs(15+2x)

Now, gain%=(gain/CP)×100%

12={(15+2x)/(210-2x)}×100

Or,12(210-2x)=100(15+2x)

Or,2520-24x=1500+200x

Or,2520-1500=224x

Or,1020=224x

Or, x=1020/224=4.553litre

Now (15-x)=(15-4.553) litre=10.446litre

Hence he bought 4.5 litre at Rs12/ litre and 10.5 litre at Rs 14/litre