Three boxes of capacity 24, kg,36, kg,and 84, | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The capacities of the three boxes are $24\, kg$,$36\, kg$,and $84\, kg$.Total weight of the mixture $= 24 + 36 + 84 = 144\, kg$.The ratio of wheat

Vedclass · Accepted Answer

$14$

Vedclass · Answer

(C) The capacities of the three boxes are $24\, kg$,$36\, kg$,and $84\, kg$.Total weight of the mixture $= 24 + 36 + 84 = 144\, kg$.The ratio of wheat $A$,$B$,and $C$ in the mixture is $24 : 36 : 84$,which simplifies to $2 : 3 : 7$.The fraction of type $A$ wheat in the total mixture is $\frac{2}{2+3+7} = \frac{2}{12} = \frac{1}{6}$.Since the mixture is distributed back into the boxes,the third box (capacity $84\, kg$) will contain the same proportion of type $A$ wheat as the total mixture.Quantity of type $A$ wheat in the third box $= \frac{1}{6} 	imes 84 = 14\, kg$.

Similar Questions

How many kg of sugar costing ₹ $11.70/kg$ must be mixed with $24$ $kg$ of sugar costing ₹ $8.1/kg$ so that there may be a gain of $15 \%$ by selling the mixture at ₹ $9/kg$? (in $kg$)

In what ratio must oil at $Rs. 62$ per $kg$ be mixed with oil at $Rs. 72$ per $kg$ so that the mixture is worth $Rs. 64.50$ per $kg$?

$4 \, kg$ of potato at $Rs. \,5$ per $kg$ is mixed with $8 \,kg$ of potato at $Rs. \,6$ per $kg.$ Find the average price of the mixture (in $Rs.$ per $kg$).

Zinc and copper are in the ratio $5:3$ in $400 \, g$ of an alloy. How much copper (in $g$) should be added to make the ratio $5:4$?

$A$ man has $40 \ kg$ of tea,a part of which he sells at $5 \%$ loss and the rest at the cost price. In this business,he incurs a total loss of $3 \%$. Find the quantity of tea which he sells at the cost price (in $kg$).

Vedclass Test Series

Exam Paper Generator

Online Exam Module