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Two types of rice costing Rs.38 per kg and Rs.42 per kg are mixed in equal quantities and sold at Rs.45 per kg. Find the gain per cent.
Question

Two types of rice costing Rs.38 per kg and Rs.42 per kg are mixed in equal quantities and sold at Rs.45 per kg. Find the gain per cent.

A.

18%

B.

12.5%

C.

10%

D.

15%

Correct option is B

Given:
Cost price of first type of rice = Rs.38 per kg
Cost price of second type of rice = Rs.42 per kg
Selling price of the mixture = Rs.45 per kg
Formula Used:
CP of mixture=Cost price of first type+Cost price of second type2\text{CP of mixture} = \frac{\text{Cost price of first type} + \text{Cost price of second type}}{2}​​
Gain %=Selling PriceCost Price of MixtureCost Price of Mixture×100\text{Gain \%} = \frac{\text{Selling Price} - \text{Cost Price of Mixture}}{\text{Cost Price of Mixture}} \times 100​​
Solution:
Cost Price of Mixture:
CP of mixture = 38+422=802\frac{38 + 42}{2} = \frac{80}{2}​ = 40 Rs/kg
Now,
Gain % = 454040×100=540×100\frac{45 - 40}{40} \times 100 = \frac{5}{40} \times 100​ = 12.5%
Thus, the gain percentage is 12.5%.

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