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IBPS SO Prelims Exam Model Paper 3
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© examsnet.com
Question : 150
Total: 150
The jeweler keeps the ratio 3 : 2 of gold and copper to make jewelry. 20 grams of the mixture is replaced by copper and the ratio of gold and copper became 5 : 4. Find the amount of gold in the initial mixture.
170
165
160
162
172
Validate
Solution:
Given
Ratio of gold and copper to make jewelry = 3 : 2
Mixture replace by copper = 20 gram
New ratio = 5 : 4
Formula used
Quantity
of
cheaper
Quantity
of
dearer
=
(
Price
of
dearer
−
Average
price
)
(
Average
price
−
Price
of
cheaper
)
Calculation
Let the amount of gold and copper in the initial mixture respectively = 3x gram and 2x gram.
Amount of gold in 20 grams of mixture =
3
x
5
x
× 20 = 12 grams
Amount of copper in 20 grams of mixture =
2
x
5
x
× 20 = 8 grams
According to the question
⇒
(
3
x
–
12
)
(
2
x
–
8
+
20
)
=
5
4
⇒ x = 54
The amount of gold in the initial mixture = 3x = 3 × 54 = 162
∴ The amount of gold in the initial mixture is 162.
© examsnet.com
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