Question

*1500 रु.मुद्दलाचे पहिल्या वर्षापेक्षा दुसऱ्या वर्षाचे व्याज 96 रुपयांनी जास्त येत असल्यास चक्रवाढव्याज पद्धतीने व्याजाचा दर किती असावा?*

1️⃣ 6 %
2️⃣ 12 %
3️⃣ 8 %
4️⃣ निश्चीत सांगता येत नाही​

Answer 1

Given : For the principal of Rs 1500 the interest for the second year is Rs 96 more than that of first year

To Find : rate of compound interest

1️⃣ 6 %

2️⃣ 12 %

3️⃣ 8 %

4️⃣ can't say for sure​

Solution:

Interest  earned extra in second year is basically the interest earned on interest earned in 1st year

P = 1500

R = rate of interest

T = Time

SI = P * R * T /100

Interest earned in 1st Year  =  1500 * R  *  1/100 = 15R

Interest earned in 2nd year on 15R  = 15R * R /100  = 15R²/100

15R²/100 = 96

=> R² = 9600/15

=> R² = 640

=> R = 25.3 %

None of the given option matches  as even D is not correct as we can say for sure that  25.3 % is rate of interest.

if P  = 15000 instead of  1500

Then R² = 64  => R = 8

Then option 3 matches  3️⃣ 8 %

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Answer 2

Given :-

• Principal = Rs.1500 .
• Interest for 2nd year is Rs.96 more than first year .

To Find :- Rate of compound interest is ?

A) 6%

B) 12%

C) 8%

D) None of these .

Answer :-

Let us assume that, Rate of interest is R% per annum.

so,

→ Interest for first year = (P * R * T)/100 = (1500 * R * 1)/100 = Rs.15R .

then,

→ Amount after 1 year = P + Interest = (1500 + 15R)

now,

→ Interest for second year = (Amount after 1 year * R * 1) / 100 = Rs.{(1500 + 15R)R/100}

A/q,

→ {(1500 + 15R)R/100} - 15R = 96

→ 1500R + 15R² - 1500R = 96 * 100

→ 15R² = 9600

→ R² = 640

→ R = √(640)

→ R ≈ 25.3 % (D) (None of these) (Ans.)

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