The present worth of Rs. 1404 due in two equal half-yearly installments at 8% per annum simple interest is:
Correct answer: A. Rs. 1325
- A. Rs. 1325
- B. Rs. 1300
- C. Rs. 1350
- D. Rs. 1500
Explanation
The two equal installments are Rs. 1404 ÷ 2 = Rs. 702 each, due after 0.5 year and 1 year. Their present worth at 8% simple interest is Rs. 702 ÷ 1.04 + Rs. 702 ÷ 1.08 = Rs. 675 + Rs. 650 = Rs. 1325. The likely mistaken answer is Rs. 1300, which discounts both installments for the same time instead of using their separate due dates.
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Profit and loss compare the cost price and selling price of an item, using profit or loss percentages based on the cost price unless stated otherwise. Questions include marked price, discount, successive discounts, commission, and finding an unknown price, with care needed to distinguish discount from loss.
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