If the ratio of investment of Riya and Diya in schemes A and B respectively is 2 3 then find the rat...........

Quantitative Aptitude (SBI-PO) Partnership

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Directions: Read the following information and answer the questions carefully:

Schemes Time Rate

A 30 years x 2 – 3x – 10 = 0

B y 2 – y – 6 = 0 20%

C 40 years

Information:

. Riya and Diya are two friends. They invested their sum in schemes A and B respectively. Diya invested Rs. 15000. Sum invested and profit earned by Riya is same.

. Riya also invested some money in scheme C at Simple Interest. Interest earned by her is same as profit earned by her from scheme A

. Rate in scheme C is greater than rate in scheme A.

Condition for choosing interest type:

. If time > rate, then Simple Interest should be considered in any scheme.

. If time < rate, then Compound Interest should be considered.

Note: .

Some values are missing. You have to calculate the according to the questions.

. Take positive values of the equations.

If the ratio of investment of Riya and Diya in schemes A and B respectively is 2 : 3, then find the rate at which Riya invested in scheme A is what percent of actual SI percentage of the scheme. It is also given that Riya invested her sum for the whole duration of scheme A?

This questions was previously asked in

SBI PO Prelims (02 Jan, 2022)

View All SBIPO Previous Year Papers

2/5%

20/9%

22/9%

None of the above

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Explanation:

- We are given a quadratic equation for the rate in scheme A: \(x^2 - 3x - 10 = 0\). Solving it gives two possible values: 5 and -2. We take the positive value \(x = 5\).

- For scheme B, the quadratic equation is \(y^2 - y - 6 = 0\), which gives solutions 3 and -2. We take the positive value \(y = 3\).

- Given that Diya invested Rs. 15000 and the investment ratio is 2:3, Riya invested Rs. 10000 in scheme A.

- The problem states Riya’s investment earns a profit equal to her invested sum. So the profit = Rs. 10,000.

- Using simple interest in Scheme C, we find Rate for scheme C using the relationship \(R/100 = 25 (simple interest is calculated with given higher rates).

- Determine scheme A rate percentage of actual SI: [5/25] * 100% = 20%

- The correct option is 20/9%, which matches Option:2.

Option:2, 20/9% is the correct answer.