Math, asked by ritikumar5790, 1 month ago

(ii) ₹16000 का 2 वर्ष के लिए 10% वार्षिक ब्याज की दर से जब ब्याज अर्धवार्षिक
संयोजित होता है।​

Answers

Answered by knjroopa
5

Step-by-step explanation:

Half yearly interest of ₹ 16000 at the rate of 10% annual interest for 2 years compound interest

  • So Principal P = 16,000
  • Rate of interest R = 10% per annum
  • Time = 2 years
  • So rate of interest = 10 / 2 = 5%
  • n = 2 x 2 = 4 half years
  • So we have  
  •      A = P(1 + R/100)^n
  •      A = 16,000 (1 + 5/100)^4
  •         = 16,000 (105 /100)^4
  •         = 16,000 (21 / 20)^4
  •     A = 16,000 x 1194481 / 1,60,000
  •          = Rs 119448.1

Reference link will be

https://brainly.in/question/8337472

Answered by RvChaudharY50
7

प्रश्न :- ₹16000 का 2 वर्ष के लिए 10% वार्षिक ब्याज की दर से जब ब्याज अर्धवार्षिक संयोजित होता है, ब्याज कितना होगा ?

उतर :-

हम जानते है कि, जब ब्याज अर्धवार्षिक संयोजित होता है, तब,

  • दर = आधी हो जाती है l
  • समय = दो गुणा हो जाता है l

अत,

  • मूलधन = ₹16000
  • दर = 10/2 = 5%
  • समय = 2 * 2 = 4 साल

इसलिए,

→ मिश्रधन = मूलधन * [1 + (दर/100)]^(समय)

→ मिश्रधन = 16000 * [1 + (5/100)]⁴

→ मिश्रधन = 16000 * [1 + (1/20)]⁴

→ मिश्रधन = 16000 * (21/20)⁴

→ मिश्रधन = (16000 * 21 * 21 * 21 * 21) / (160000)

→ मिश्रधन = 194481/10

→ मिश्रधन = ₹19448.1

अत,

→ ब्याज = मिश्रधन - मूलधन

→ ब्याज = 19448.1 - 16000

→ ब्याज = ₹3448.1 (Ans.)

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