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The banker’s gain of a certain sum due 2 years hence at 10% per annum is Rs. 24. What is the present worth?
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- Rs. 600
- Rs. 500
- Rs. 400
- Rs. 300
Correct Option: A
Here , Banker's Gain = Rs. 24 , Time = 2 years and Rate = 10%
According to question ,
True Discount = | Banker's Gain × 100 | |
Time x Rate |
True Discount = | 24 × 100 | = Rs. 120 |
2 x 10 |
True Discount = | PW x Time x Rate | |
100 |
120 = | PW x 2 x 10 | |
100 |
⇒ 1200 = Present Worth x 2
Present Worth = | 1200 | = Rs. 600 |
2 |
Hence , the present worth is Rs. 600 .