A sum of Rs. 8400 was taken as a loan. This is to be repaid in two equal installments. If the rate of interest is 10% per annum, compounded annually, then the value of each installment is. रू. 8400 की एक धनराशि उधार पर ली गई है। इसे दो बराबर किस्तों में चुकाया जाना है। यदि चक्रवृद्धि ब्याज की दर 10% प्रति वर्ष है जो वार्षिक रूप से जोड़ा जाता है, तो प्रत्येक किस्त का मान क्या है?
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Rs./रू. 4200
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Rs./रू. 4480
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Rs./रू. 4840
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Rs./रू. 4680
C
Correct answer
Explanation
For a loan repaid in equal annual installments under compound interest, use the formula: P = x[1 - (1 + r)⁻ⁿ]/r where x is the installment. Here: 8400 = x[1 - (1.1)⁻²]/0.1 = x[1 - 1/1.21]/0.1 = x[0.21/1.21]/0.1 = x(21/121). Solving: x = 8400 × 121/21 = 400 × 121 = 4840. Verification: After year 1, balance = 8400(1.1) - 4840 = 9240 - 4840 = 4400; after year 2: 4400(1.1) - 4840 = 4840 - 4840 = 0. Key distractor: 4680 (uses simple interest approximation).