Question

A person divided an amount of rs. 100,000 into two parts and invested in two different schemes. In one he got 10% profit and in the other he got 12%. If the profit percentages are interchanged with these investments he would have got rs. 120 less. Find the ratio between his investments in the two schemes

Answer 1

Answer:

Ratio between his investment in the two schemes was 47 : 53

Step-by-step explanation:

Let the amount of investment in first scheme = x

Let the amount of investment in second scheme = y

x + y = 100,000 ---(1)

Let the profit of sum before interchanging percentage = z

110%x + 112%y = z

1.1x + 1.12y = z --------(2)

After interchanging profit percentages

1.1x + 1.12y = z - 120 ------(3)

Subtracting equation (2) from equation (3)

0.02x - 0.02y = -120

x - y = -120/0.02 = -6000 -------(4)

subtracting equation (4) from equation (1)

2x = 94,000

x = 47,000

y = 100,000 - 47,000 = 53,000

Ratio between his investment = $\frac{47000}{53000}=\frac{47}{53}$

Ratio between his investment in the two schemes was 47 : 53

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