सै question 2
21 max invests an amount of for a
period of 7 years. For the first two years
the interest was p. a compounded Semi-
anceally. The interest was the changed to
p-a compaended quartely.

Ask by Mcdonald Norris. in South Africa

Jan 04,2025

Question

सै question 2
21 max invests an amount of for a
period of 7 years. For the first two years
the interest was p. a compounded Semi-
anceally. The interest was the changed to
p-a compaended quartely.

Ask by Mcdonald Norris. in South Africa

Jan 04,2025

UpStudy AI · Accepted Answer

**प्रश्न 2:**

21 मैक्स ने ₹28,000 राशि 7 वर्षों के लिए निवेश की। पहले दो वर्षों तक ब्याज दर 12% प्रति वर्ष था, जिसे अर्धवार्षिक रूप से चक्रवृद्धि (सेमी-एन्युअली) किया गया। उसके बाद ब्याज दर बदलकर 10% प्रति वर्ष कर दी गई, जिसे त्रैमासिक रूप से चक्रवृद्धि (क्वार्टरली) किया गया।

**आइए, अंतिम राशि की गणना चरणबद्ध तरीके से करें:**

---

### **पहले 2 वर्ष:**

**ब्याज दर:** 12% प्रति वर्ष  
**चक्रवृद्धि अवधि:** अर्धवार्षिक (प्रतिवर्ष 2 बार)  
**समय अवधि:** 2 वर्ष  
**प्रारंभिक राशि (P):** ₹28,000  
**ब्याज दर प्रति अवधि (r/n):** 12% / 2 = 6% = 0.06  
**कुल अवधियों की संख्या (n*t):** 2 * 2 = 4

**चक्रवृद्धि का सूत्र:**
$$
A = P \times \left(1 + \frac{r}{n}\right)^{n \times t}
$$

**लागू करते हैं:**
$$
A_1 = 28,000 \times (1 + 0.06)^4
$$
$$
A_1 = 28,000 \times 1.26247696 \approx 35,420 \text{ रुपये}
$$

---

### **अगले 5 वर्ष:**

**ब्याज दर:** 10% प्रति वर्ष  
**चक्रवृद्धि अवधि:** त्रैमासिक (प्रतिवर्ष 4 बार)  
**समय अवधि:** 5 वर्ष  
**प्रारंभिक राशि (P):** ₹35,420  
**ब्याज दर प्रति अवधि (r/n):** 10% / 4 = 2.5% = 0.025  
**कुल अवधियों की संख्या (n*t):** 4 * 5 = 20

**चक्रवृद्धि का सूत्र:**
$$
A = P \times \left(1 + \frac{r}{n}\right)^{n \times t}
$$

**लागू करते हैं:**
$$
A_2 = 35,420 \times (1 + 0.025)^{20}
$$
$$
A_2 = 35,420 \times 1.63862 \approx 58,040 \text{ रुपये}
$$

---

### **अंतिम राशि:**
₹58,040

**इस प्रकार, 7 वर्षों के अंत में 21 मैक्स की निवेशित राशि लगभग ₹58,040 बन जाएगी।**
After 7 years, 21 Max's investment of ₹28,000 grows to approximately ₹58,040.

सै question 2
21 max invests an amount of for a
period of 7 years. For the first two years
the interest was p. a compounded Semi-
anceally. The interest was the changed to
p-a compaended quartely.

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Answer

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सै question 2 21 max invests an amount of for a period of 7 years. For the first two years the interest was p. a compounded Semi- anceally. The interest was the changed to p-a compaended quartely.

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Answer

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सै question 2
21 max invests an amount of for a
period of 7 years. For the first two years
the interest was p. a compounded Semi-
anceally. The interest was the changed to
p-a compaended quartely.