A person takes a loan of ₹\(10000\) partly from a bank at \(8\%\) per annum and the remaining from another bank at \(10\%\) per annum. He pays a total interest of ₹\(950\) per annum. The amount of loan taken from the first bank is:

Practice MCQ for SSC, UPSC, RRB Exams

A. ₹2500 A. ₹\(2500\)

B. ₹5200 B. ₹\(5200\)

C. ₹2050 C. ₹\(2050\)

D. ₹5020 D. ₹\(5020\)

Correct Answer: A সঠিক উত্তর: A

Explanation ব্যাখ্যা

Let the amount taken from the first bank at \(8\%\) be ₹\(x\).

Then the amount taken from the second bank at \(10\%\) is:

\[ 10000 - x \]

Total interest per year is ₹950.

Interest from first bank:

\[ \frac{x \times 8}{100} \]

Interest from second bank:

\[ \frac{(10000 - x)\times 10}{100} \]

Total interest equation:

\[ \frac{8x}{100} + \frac{10(10000 - x)}{100} = 950 \]

Multiply by \(100\):

\[ 8x + 100000 - 10x = 95000 \]

\[ -2x = -5000 \]

\[ x = 2500 \]

Amount taken from first bank = ₹2500

Correct Answer: (A)

ধরি, প্রথম ব্যাংক থেকে নেওয়া ঋণ = ₹\(x\) (সুদের হার \(8\%\))

তাহলে দ্বিতীয় ব্যাংক থেকে নেওয়া ঋণ:

\[ 10000 - x \]

মোট বার্ষিক সুদ = ₹950

প্রথম ব্যাংকের সুদ:

\[ \frac{8x}{100} \]

দ্বিতীয় ব্যাংকের সুদ:

\[ \frac{10(10000 - x)}{100} \]

সমীকরণ:

\[ \frac{8x}{100} + \frac{10(10000 - x)}{100} = 950 \]

\(100\) দ্বারা গুণ করলে:

\[ 8x + 100000 - 10x = 95000 \]

\[ -2x = -5000 \]

\[ x = 2500 \]

প্রথম ব্যাংক থেকে নেওয়া ঋণ = ₹2500

সঠিক উত্তর: (A)

Practice MCQ for SSC, UPSC, RRB Exams

Correct Answer: A সঠিক উত্তর: A

Explanation ব্যাখ্যা

General Mock Test

Railway Exams

SSC Exams

West Bengal Govt. Exams

Practice MCQ for SSC, UPSC, RRB Exams

Correct Answer: A সঠিক উত্তর: A

Explanation ব্যাখ্যা

Related Questions সম্পর্কিত প্রশ্ন

General Mock Test

Railway Exams

SSC Exams

West Bengal Govt. Exams