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.
Options :
9:16
1:14
37:63
47:53
Answer :
47:53
Solution :
Let the two portions be x and 100000 – x
According to first condition, profit = 0.1x + 0.12(100000 – x)
According to second condition, profit = 0.12x + 0.1(100000 – x)
Then, 0.1x + 0.12(100000 – x) – [0.12x + 0.1(100000 – x)] = 120
On solving this, x = 47000, and 100000 – x = 53000
On solving this, x = 47000, and 100000 – x = 53000
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