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If a shopkeeper mixes two types of pulses worth Rs.80 per kg and Rs.95 per kg, in the ratio 2:3, then what is the average cost of the mixture?
Question

If a shopkeeper mixes two types of pulses worth Rs.80 per kg and Rs.95 per kg, in the ratio 2:3, then what is the average cost of the mixture?

A.

Rs. 87 per kg

B.

Rs. 91 per kg

C.

Rs. 89 per kg

D.

Rs. 90 per kg

Correct option is C

Given:

Cost of first type of pulse = Rs. 80 per kg
Cost of second type of pulse = Rs. 95 per kg
Mixing ratio = 2 : 3

Formula Used:
Average cost =  (a×x)+(b×y)a+b\frac{(a \times x) + (b \times y)}{a + b}​​
where

a, b = quantities (ratio parts)

x, y = respective prices

Solution:
Average cost = (2×80)+(3×95)2+3\frac{(2 \times 80) + (3 \times 95)}{2 + 3}​​

=160+2855= \frac{160 + 285}{5}​​

=4455= \frac{445}{5}​​

= 89 per kg

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