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Given below are two quantities named A & B. Based on the given information; you have to determine the relationship between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A: Rs. 5000 becomes Rs. 6200 in 4 years at a certain simple rate of interest. If the rate of interest doubled, what amount will Rs. 5000 become in 3 years? Quantity B: Deepesh invests two equal amounts in two different schemes at 8% and 12% per annum rate of interest. At the end of the year, interest earned is Rs. 2200. The invested amount in each part in Rs is.

Given below are two quantities named A & B. Based on the given information; you have to determine the relationship between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A: Rs. 5000 becomes Rs. 6200 in 4 years at a certain simple rate of interest. If the rate of interest doubled, what amount will Rs. 5000 become in 3 years? Quantity B: Deepesh invests two equal amounts in two different schemes at 8% and 12% per annum rate of interest. At the end of the year, interest earned is Rs. 2200. The invested amount in each part in Rs is. Correct Answer Quantity A < Quantity B

Quantity A:

Invested amount (P) = Rs. 5000

Interest (I) = 6200 - 5000 = Rs. 1200

Time period (N) = 4 years

⇒ Rate of interest = 100I/PN = (100 × 1200)/(5000 × 4) = 6%

New rate of interest = 2 × 6 = 12%

⇒ Interest = (5000 × 12 × 3)/100 = Rs.1800

⇒ Amount = 5000 + 1800 = Rs. 6800

⇒ Value for Quantity A = Rs. 6800

Quantity B:

Let assume amount invested Rs. x,

Rate of interest (R1) = 8%

R2 = 12%

Interest earned (I) = Rs. 2200

Time(N) = 1 year

From the data given in question,

⇒ (x × 8 × 1) /100 + (x × 12 × 1)/100 = 2200

⇒ 20x/100 = 2200

⇒ x = 2200 × 5 = Rs. 11,000

∴ Quantity A < Quantity B

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