Multiple choice

A sum of Rs 3500 is divided into two parts such that the interests on the first part at 8% simple interest per annum and that on the other part at 6% simple interest per annum are equal. Find the interest on each part? 3500 रुपये की राशि को दो भागों में इस प्रकार विभाजित किया जाता है,जिससे पहले भाग में 8% प्रति वर्ष साधारण ब्याज पर और दूसरे भाग पर 6% प्रति वर्ष साधारण ब्याज के बराबर होता है। प्रत्येक भाग पर ब्याज ज्ञात कीजिये?

  1. Rs. 600

  2. Rs. 100

  3. Rs. 80

  4. Rs. 120

  5. None of these इनमें से कोई नहीं

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

Let the two parts be Rs. x at 8% and Rs. (3500-x) at 6%. Equal interest means: x × 8% = (3500-x) × 6%. Solving: 0.08x = 210 - 0.06x, so 0.14x = 210, giving x = 1500. First part: Rs. 1500 at 8% gives interest of Rs. 120. Second part: Rs. 2000 at 6% also gives interest of Rs. 120. The interest on each part is Rs. 120.