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Q.

Anita deposits Rs 1000 in a savings bank account. The bank pays interest at the rate of 5% per annum. What amount can Anita get after one year?


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a

1050

b

1060

c

1070

d

1080

answer is A.

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Detailed Solution

Concept-
We use the straightforward interest formula https://lh4.googleusercontent.com/eBVCiJ6oBQ47qgvL_9zdpiq6X1pHt_rX52yfgIRkAW-lM51RhBPmeMSCpc_vmKOSKDRjubacwokzli05Gkmuz0HedCCqkVRtNip7WYi4C9VcQZYeUztOOwqIsBD6Ayvsf3NsTnNOjALksGdkFo3jmg, where P is the initial principal amount, r denotes the percentage rate of interest, n denotes the length of time in years, and A denotes the amount accrued after time period n. The unknown A is located using the known values as specified in the query.
Here, we must employ a straightforward interest formula. According to the simple interest formula, the amount accrued after time period n is given by if the starting principle amount is P, the rate of interest is r in percentage, and the time period is t in years.
https://lh4.googleusercontent.com/eBVCiJ6oBQ47qgvL_9zdpiq6X1pHt_rX52yfgIRkAW-lM51RhBPmeMSCpc_vmKOSKDRjubacwokzli05Gkmuz0HedCCqkVRtNip7WYi4C9VcQZYeUztOOwqIsBD6Ayvsf3NsTnNOjALksGdkFo3jmgThe initial principal amount, which is equal to the $1,000 that Anita deposited, is provided as P=1000, the percentage interest rate, which the bank pays, is given as r=5, and the time period, in years, is given as t=1. Find the value of A, which is the amount Anita will receive after a year. As a result, we apply the above formulas to obtain,
https://lh4.googleusercontent.com/gA0c2zho5rwdvfTvDl-n8jwRzbSc9a9274e2mk7kYV9TUb3br4VAS9eOS1L5CykXg2JBeToxzlJnZNh7JLg0IqMa9a_tnU_BQeG1GfQkWzBYz6cn0kwz-cX5AeMvj4Q5bi0RJpq1i3CM9Ruq3OKItQThus, after a year, the bank will give 1050 rupees.
Alternately, we can first calculate the simple interest I=PTR, where P is the initial deposit amount, T is the time period, and R is the decimal interest rate. The question states that P=1000 Rupees.
https://lh6.googleusercontent.com/1uDXLX4v5MurmWzmPEEGsra4Ci5_e28PVo_lcCK8QgfsFQSHiyGiAUBkQGeGjoHF_w6meNohN8zMQIAFabpuT6nWYca7QV1RgyoPb4iU99j7VssLHg0Ixifvg5UaMjKpAh0SUxjkWruJAhhHzH_h4AAfter a year, Anita will receive the total of the initial deposit amount P and interest amount I. the amount she will receive in rupees is therefore
https://lh6.googleusercontent.com/rtoqRJJHPWPODQCsUoJYtduHynKg-9S7a9W0_KExMLHF1Y4zzWxsIh4jeHFAez-F7BvsmuqVCLmfDjTXRrDiqg4X1DuXRtM5JqUMRI4gH8rmUprAKxkPXzKxW7SMqgb8FYsgtWx4LB7TgjXHZlW06QHence, the correct answer is option 1) 1050
 
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