 # Data Interpretation Based on Simple Interest and Compound Interest | SI and CI Based DI PDF for Free at Smartkeeda for SBI PO 2020, IBPS PO 2020, IBPS RRB Scale 1, IBPS Clerk, SBI Clerk  Directions : Study the following table chart carefully and answer the questions given beside.

The table below shows details about invested by different persons:

 Person Rate of interest Time (Years) Principal (Rs.) Amount (Rs.) Arun 6% 18000 Sourav 6% 30000 Amit 5 29000 Piku 3 45000 Ankit 8% 20000 Anita 2 60000

Note: Calculate simple interest unless specified
All questions are independent from others.
Important for :
1
If the rate of interest received by Arun and Amit is in the ratio of 2 : 3 then find in how many years the money invested by Amit will be doubled with same rate of interest?
» Explain it
C
 Rate of interest for Amit = 6 × 3 = 9% 2

Let the principal invested by Amit be Rs. x

So,
 = x + x × 9 × 5 = 29000 100

 = 100x + 45x = 29000 100

 = 145x = 29000 × 100 145

= x = 20000

Amount invested by Amit = Rs 20000

To double the invested the time required

Let the time be x
 = 20000 × 100 9 × 20000

= 11.11 years.

Hence, option C is correct.
2
If the difference between the interest received by Ankit and Sourav is Rs 4200 and Ankit invested his money for double the time period for which Sourav invested his money then find the amount received by Ankit ?
» Explain it
C
Let the time for which Sourav invested be x years

So the time for which Ankit invested = 2x years

So,

 Interest received by Ankit= 8 × 2x × 20000 = Rs. 3200x 100

 Interest received by Sourav = 6 × x × 30000 = Rs. 1800x 100

So,

3200x – 1800x = 4200

1400x = 4200

x = 3 years

So,
 Interest received by Ankit= 8 × 6 × 20000 = Rs. 9600 100

Total amount received by Ankit = Rs. (20000 + 9600) = Rs 29600

Hence, option C is correct.
3
If the amount received by Amit is twice the money invested by him then find amount he will receive after 2 years if he invests the same amount of money in compound interest for 2 years compounded half yearly?
» Explain it
E
 Amount invested by Amit = 29000 = Rs. 14500 2

Interest received by Amit = 29000 – 14500 = Rs 14500

Let the rate of interest for Amit be x

According to question,
 = x = 14500 ×100 14500 × 5

= x = 20%

Amount he will if compounded half yearly for 2 years

 = 14500 ( 1 + 10 ) 4 100

 = 14500 × 11 × 11 × 11 × 11 = Rs. 21229.45 10 10 10 10

Hence, option E is correct.
4
If the interest received by Anita is 20% of the sum invested by her then find how much more money as interest she would have earned if she had invested the money in compound interest?
» Explain it
A
 Interest received by Anita = 20 × 60000 = Rs. 12000 100

 Rate = 12000 × 100 × 60000 2

Rate = 10%

 Interest for 1st year= 60000 × 10 × 1 = Rs. 6000 100

Principal for 2nd year= 60000 + 6000 = Rs 66000

 Interest for second year= 66000 × 10 × 1 = Rs. 6600 100

Total interest received by Anita = 6600 + 6000 = Rs 12600

So,

Anita will receive (12600 – 12000) = Rs 600 more interest.

Hence, option A is correct.
5
If the interest received by Anita is Rs 7575 more than interest received by Piku and the rate of interest received by Anita 2% more than the rate of interest received by Arun then find the interest rate received by Piku ?
» Explain it
D
Let the rate of interest received by Piku be x

According to question,

 60000 × 8 × 2 – x × 3 × 45000 = 7575 100 100

= 9600 – 1350x = 7575

= 9600 – 7575 = 1350x

 = x = 2025 1350

= x = 1.5%

Hecne, option D is correct.
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