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Q.On 1st January, 2023 partner Anuj died and the closing balance on his account Rs. 3,80,000 was credited to his executor's loan account. If the loan is to be paid in two equal half yearly installments with interest @ 8% p.a. what is the amount of first installment along with the interest payable to his executor?

(a) Rs. 2,20,400
(b) Rs. 2,05,200
(c) Rs. 1,90,000
(d) Rs. 1,02,600
Goa GbshseGBSHSE Goa Class 12 Board Exam (Commerce) 2025MCQ· 1mImportance★★★★★
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The executor's loan is repaid in equal instalments of principal, but interest is calculated every half-year on whatever principal is still outstanding at the start of that period.

Step-by-step working

Step 1 — Equal half-yearly principal instalment

Total amount due to executor = Rs. 3,80,000, repayable in 2 equal half-yearly instalments.

Principal per instalment = Rs. 3,80,000 ÷ 2 = Rs. 1,90,000

Step 2 — Interest on the first instalment

Interest accrues on the full outstanding balance of Rs. 3,80,000 for the first 6 months (1 Jan 2023 to 30 June 2023) @ 8% p.a.:

Interest = Rs. 3,80,000 × 8% × 6/12 = Rs. 15,200

Step 3 — Total first instalment

First instalment paid = Principal + Interest …

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