sujoykrdatta
Onion is sold for 5 consecutive months at the rate of Rupees 10, 20, 25, 25, and 50 per kg, respectively. A family spends a fixed amount of money on onion for each of the first three months, and then spends half that amount on onion for each of the next two months. The average expense for onion, in Rupees per kg, for the family over these 5 months is closest to:
A. 26
B. 21
C. 20
D. 18
E. 16
The prices per kg are 10, 20, 25, 25, and 50
Thus, for ease of calculations, we assume the money spent each month (for the first 3 months) = Rupees 100
Thus, the quantities purchased for the first 3 months are:
First month: 100/10 = 10 kg
Second month: 100/20 = 5 kg
Third month: 100/25 = 4 kg
Money spent each month (for the next 2 months) = Rupees 100/2 = Rupees 50
Thus, the quantities purchased for the last 2 months are:
Fourth month: 50/25 = 2 kg
Fifth month: 50/50 = 1 kg
Total money spent = 100 x 3 + 50 x 2 = Rupees 400
Total quantity = 10 + 5 + 4 + 2 + 1 = 22 kg
Thus, average expense for onion, in Rupees per kg = 400/22 = 200/11 = 18.18
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