# A and B are two finance companies. The simple interest of these two companies are in the ratio 6 ∶ 5. Mr. X wants to deposit his total savings in thes

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A and B are two finance companies. The simple interest of these two companies are in the ratio 6 ∶ 5. Mr. X wants to deposit his total savings in these two companies in such a way that he receives equal quarterly interest from both. Find the ratio of his savings that he should deposit in the finance companies.
1. 2 ∶ 5
2. 5 ∶ 2
3. 5 ∶ 4
4. 5 ∶ 6

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Correct Answer - Option 4 : 5 ∶ 6

Given

Ratio of simple interest of two companies = 6 ∶ 5

Money deposit in two companies in such a way that he receives equal quarterly interest from both.

Formula Used

S.I = PRT/100

Calculation

According to question,

Let rate of interest = 6x and 5x

Also, assumed he invest Rs.Y in finance company A and Rs. Z in company B.

Then, (Y × 6x × 1)/100 × 4 = (Z × 5x × 1)/100 × 4

⇒ 6Y = 5Z

⇒ Y ∶ Z = 5 ∶ 6

∴ The required ratio of savings is 5 ∶ 6.