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In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity I: A invests Rs 2500 and Rs 3000 for 2 years on simple interest at the rate of 15% and 20% respectively. After 2 years, he invested the total amount at a certain rate at compound interest annually for one year. The difference of interest earned after 2 years and after one year is Rs 1205, then find the rate of interest at which he invested that amount at compound interest. Quantity II: 11%

In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity I: A invests Rs 2500 and Rs 3000 for 2 years on simple interest at the rate of 15% and 20% respectively. After 2 years, he invested the total amount at a certain rate at compound interest annually for one year. The difference of interest earned after 2 years and after one year is Rs 1205, then find the rate of interest at which he invested that amount at compound interest. Quantity II: 11% Correct Answer <span lang="EN-US" style=" line-height: 107%; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;">Quantity I &lt; Quantity II</span>

Quantity I:

Total amount A got in 2 years =

= (2500 + (2500 × 15 × 2)/100) + (3000 + (3000 × 20 × 2)/100)

= Rs. 7450

Compound interest = 7450(1 + R/100) – 7450

Then,

⇒ – = 1205

⇒ 1950 – 7450(1 + R/100) + 7450 = 1205

⇒ R = 10%

Quantity II: 11%

So, we can observe Quantity I < Quantity II.

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