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If the simple interest on a certain sum is due for some years at 6 % is ₹180, and the discount at 5 % on the same amount is ₹140. Find the sum and the time.
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₹ 2100 and 1 3 Year 7 -
₹ 2200 and 2 3 Year 7 -
₹ 2000 and 2 3 Year 7 -
₹ 2300 and 1 3 Year 7 - None of these
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Correct Option: A
Given :- Simple Interest = ₹180 , Rate = 6%
| Banker 's Discount or Simple Interest at 5% = | 180 × 5 | = ₹ 150 |
| 6 |
Banker 's Discount = ₹ 150
True Discount at 5% = ₹140.
| Sum Due = | Banker 's Discount × True Discount | = | 150 × 140 | = ₹ 2100 |
| Banker 's Discount - True Discount | 150 - 140 |
| ∴ Time = | Interest × 100 | years |
| Sum due × Rate |
| Time = | 180 × 100 | = 1 | 3 | Year |
| 2100 × 6 | 7 |
