Choose the correct option.
Padam purchased 30 kg of rice at the rate of Rs. 17.50 per kg and another 30 kg rice at a certain rate.
He mixed the two and sold the entire quantity at the rate of Rs. 18.60 per kg and made 20% overall
profit. At what price per kg did he purchase another lot of 30 kg rice?
Answer:
Let the required price per kg be Rs. x. Then,
C.P. of 60 kg rice = Rs.(30×17.50+30×x)=Rs.(525+30x).
S.P. of 60 kg rice = (60×18.60)=Rs.1116.
∴
525+30x
1116−(525+30x)
×100=20
⇒
525+30x
591−30x
=
5
1
⇒2955−150x=525+30x
⇒x=
180
2430
=
2
27
=13.50Rs.
So the C.P. of second lot is 13.50 RS.