Discuss Forum
1.
In what ratio must a grocer mix two varieties of pulses costing Tk. 15 and TK. 20 per kg respectively so as to get a mixture worth Tk. 16.50 kg?
- A. 3 : 7
- B. 3 : 7
- C. 3 : 7
- D. 3 : 7
Answer: Option C
Explanation:
Let the amount of pulse of price Tk. 15 = x
and the amount of pulse of price Tk. 20 = y
Then the total amount of mixture = ( x + y) kg
total cost of mixture = 15x + 20y
but the price per kg of the mixture = Tk. 16.50
so, total price of (x + y) kg = 16.50(x + y)
According to question;
16.50(x + y) = 15x + 20 y
or, 16.50x + 16.50y = 15x + 20y
or, 1.50x = 3.50y
or, x/y = 3.50/1.50 = 0.7/0.3 = 7/3
so, the required ratio is 7 : 3.
and the amount of pulse of price Tk. 20 = y
Then the total amount of mixture = ( x + y) kg
total cost of mixture = 15x + 20y
but the price per kg of the mixture = Tk. 16.50
so, total price of (x + y) kg = 16.50(x + y)
According to question;
16.50(x + y) = 15x + 20 y
or, 16.50x + 16.50y = 15x + 20y
or, 1.50x = 3.50y
or, x/y = 3.50/1.50 = 0.7/0.3 = 7/3
so, the required ratio is 7 : 3.
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