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The banker’s gain on a certain sum of money is due for 9 months at 4 % p.a. is ₹2.25. The sum is :
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- ₹2575
- ₹2500
- ₹2250
- ₹3250
- None of these
Correct Option: A
| Here , Banker 's Gain = ₹2.25 , Time = 9 months = | 9 | = | 3 | years |
| 12 | 4 |
Banker 's Gain is the interest on True Discount .
| True discunt = | Banker 's Gain × 100 | |
| Rate × Time |
| ∴ True Discount ( T.D. ) = | 2.25 × 100 | = ₹ 75 |
| 3/4 × 4 |
Banker 's Discount ( B.D. ) = True Discount ( T.D. ) + Banker 's Gain ( B.G. )
B.D.= ₹75 + ₹2.25 = ₹77.25
| ∴ Sum due = | B.D. × T.D. | = ₹ | 77.25 × 75 |
| B.G. | 2.25 |
Sum due = ₹ 2575.
