35 kg of a type of sandal powder (type a) which costs rs.614 per kg was mixed with certain amount of another type of sandal powder (type b), which costs rs.695 per kg. Then the mixture was sold at rs.767 per kg and 18% profit was gained. What was the amount of type b sandal powder in the mixture?
Answers
Answer:
The amount of Type B sandal powder used to make a profit of 118% from selling mixture of type A and B Sandal powder at Rs. 767 per Kg, is 28 kg of type B Sandal Powder.
Step-by-step explanation:
Let us list down the details for each of the components of this question:
Let x be the number of kilograms of type B Sandal Powder used.
Type A Sandal Powder ⇒ 35Kg @ Rs.614
Type B Sandal Powder ⇒ x Kg @ Rs. 695
Type A and B mixture ⇒ (35 + x)Kg @ Rs. 767
The profit attained after selling this mixture at Rs. 767 is 18%, this means that the selling price is (100%+18% = 118%) of the cost price.
118% = 118/100 = 1.18
We can form an equation from the details we have and solve for x
118% ( Cost price of A + cost price B) = Selling price mixture A and B
Cost price A = 35kg × Rs. 614/kg = Rs. 21490
Cost price B = x × Rs. 695/kg = Rs. 695x
Selling price of mixture A&B = (35+x)kg × Rs.767/kg = Rs. 767(35+x)
The equation:
1.18(21490 + 695x) = 767( 35+x)
25358.2 + 820.1x = 26845 + 767x
820.1x - 767x = 26845 - 25358.2
53.1x = 1486.8
x = 1486.8/53.1
x = 28
Therefore the number of kilogram of type B Sandal Powder used was 28Kgs
Answer:
28kg
Step-by-step explanation:
Cost price of mixture
=Sale price(100+gain%)×100=767118×100=Rs. 650
Ratio = 5 : 4
∴ Quantity of A type of sandal is 35 kg
∴ 5x = 35 kg
∴ x = 7 kg
Thus B type sandal = 7 × 4 = 28 kg