Multiple choice

Some amount out of Rs. 5000 was lent at 5% per annum and the remaining was lent at 4% per annum. If the total simple interest from both in 5 years was Rs. 1050. Calculate the sum lent at 4% per annum. 5000 रू. में से कुछ राशि 5% वार्षिक पर उधार दी गई और शेष को 4% वार्षिक ब्याज की दर से उधार दिया गया। यदि 5 वर्षों में दोनों से प्राप्त कुल साधारण ब्याज 1050 रू. है। 4% वार्षिक ब्याज दर दी गई धनराशि ज्ञात कीजिए।

  1. Rs. 5000

  2. Rs. 1000

  3. Rs. 925

  4. Rs. 4000

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let x be the amount lent at 4%. Then (5000-x) is lent at 5%. Simple interest: x×4×5/100 + (5000-x)×5×5/100 = 1050. This gives 0.2x + 1250 - 0.25x = 1050, so -0.05x = -200 and x = 4000. The remaining 1000 is lent at 5%.