39. The cost of gold varies directly as the
cube of its weight. A gold piece
weighing 20 decigram costs 1,000.
If it is broken into two pieces whose
weights are in the ratio 2:3, then what
is the profit or loss incurred ?
(a) 280 profit
(b) 280 loss
(c) *720 profit
(d) *720 loss
Answers
Step-by-step explanation:
cost proportional to cube of weight
C1 = W1³
C2 W2³
20 decigram = 2 gram
2 gram cost around 1000
2 gram is divided into 2:3 = 0.8 gram and 1.2 gram and lets say their cost be x and y
1000/x = 2³ / (0.8)³
1000/x = 8 ×1000 / 8×8×8
x = 64 rupees
1000/y = 2³ / (1.2)³
1000/y = 8 × 1000 / 12×12×12
y = 216 rupees
x + y = 64 +216 = 280
loss = 1000 - 280
= 720
Don't forget to brainlist my answer
1-
You can ask me maths questions personally by following me on brainly. I will answer questions of class 9, 10, 11 and 12 whenever i came online.
2-
You can thank me by subscribing my youtube channel "Brain Building Academy". It give benifits to class 9 & 10 mathematics students.If you subscribe my channel i will follow you on brainly. Thank you all have a nice day.