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A man borrowed Rs X at a simple interest of 35% per annum for 6 years and Rs Y at a simple interest of 20% per annum for 6 years. If he had borrowed R
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A man borrowed Rs X at a simple interest of 35% per annum for 6 years and Rs Y at a simple interest of 20% per annum for 6 years. If he had borrowed Rs. (X + Y) at a simple interest of 25% for 6 years, he would have paid the same interest. Find the ratio of X and Y.

A.

3:2

B.

2:5

C.

2:3

D.

1:2

E.

1:3

Correct option is D


ATQ,
(X×35×6)/100+(Y×20×6)/100=[(X+Y)×25×6/100]
210X + 120Y = 150X + 150Y
60X = 30Y
X/Y=1/2
X:Y = 1:2

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