Multiple choice

A sum of Rs. 2550 is borrowed to be paid back in two years by two equal instalments.If rate of interest 4% per annm compound interest is allowed,each instalments will be of - एक 2550 रू. की धनराशि दो वर्षो में दो समान किस्त में देय उधार ली जाती है |यदि ब्याज दर 4% प्रतिवर्ष चक्रवृद्धि ब्याज देय है तो प्रत्येक किस्त होगी-

  1. 1775

  2. 1350

  3. 1352

  4. 1400

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

Let each installment = x. Present value of first installment (paid after 1 year) = x/(1.04). Present value of second installment (paid after 2 years) = x/(1.04)^2. Sum = 2550. Solving: x(1/1.04 + 1/1.0816) = 2550. x(0.9615 + 0.9246) = 2550. x(1.8861) = 2550. x ≈ 1352. This matches option C.