Question
Download Solution PDFIn what ratio must a grocer mix two varieties of pulses costing Rs.75 and Rs.100 per kg respectively so as to get a mixture worth Rs.86.5 per kg? (In kg)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Cost of the first variety of pulses = Rs. 75 per kg
Cost of the second variety of pulses = Rs. 100 per kg
Cost of the mixture = Rs. 86.5 per kg
Formula Used:
Ratio of quantities = (Cost of second variety - Cost of mixture) : (Cost of mixture - Cost of first variety)
Calculation:
Let the ratio be x : y.
Cost of second variety - Cost of mixture = 100 - 86.5 = 13.5
Cost of mixture - Cost of first variety = 86.5 - 75 = 11.5
Ratio of quantities = 13.5 : 11.5
⇒ Ratio = 135 : 115
⇒ Ratio = 27 : 23
The grocer must mix the pulses in the ratio 27:23.
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