Principal |
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= Rs. 8925. |
Time = | ❨ | 100 x 81 | ❩years | = 4 years. |
450 x 4.5 |
Then, | ❨ | 1200 x R x R | ❩ | = 432 |
100 |
⟹ 12R2 = 432
⟹ R2 = 36
⟹ R = 6.
Rate = | ❨ | 100 x 3000 | ❩% | = 6% |
12500 x 4 |
Then, AB = 100 m, ∠ACB = 30° and ∠ADB = 45°.
AB | = tan 30° = | 1 | ⟹ AC = AB x √3 = 100√3 m. |
AC | √3 |
AB | = tan 45° = 1 ⟹ AD = AB = 100 m. |
AD |
∴ CD = (AC + AD) | = (100√3 + 100) m |
= 100(√3 + 1) | |
= (100 x 2.73) m | |
= 273 m. |
Let ∠ACB = Θ.
Then, | AC | = | √3 ⟹ cot Θ = √3 |
AB |
∴ Θ = 30°.
S.I. for 3 years = Rs.(39 x 3) = Rs. 117.
∴ Principal = Rs. (815 - 117) = Rs. 698.
S.I. for 5 years = Rs. | ❨ | 2205 | x 5 | ❩ | = Rs. 3675 |
3 |
∴ Principal = Rs. (9800 - 3675) = Rs. 6125.
Hence, rate = | ❨ | 100 x 3675 | ❩% | = 12% |
6125 x 5 |
Then, | ❨ | x x 14 x 2 | ❩ | + | ❨ | (13900 - x) x 11 x 2 | ❩ | = 3508 |
100 | 100 |
⟹ 28x - 22x = 350800 - (13900 x 22)
⟹ 6x = 45000
⟹ x = 7500.
So, sum invested in Scheme B = Rs. (13900 - 7500) = Rs. 6400.
Then, | ❨ | 5000 x R x 2 | ❩ | + | ❨ | 3000 x R x 4 | ❩ | = 2200. |
100 | 100 |
⟹ 100R + 120R = 2200
⟹ R = | ❨ | 2200 | ❩ | = 10. |
220 |
∴ Rate = 10%.
S.I. for first 6 months = Rs. | ❨ | 100 x 10 x 1 | ❩ | = Rs. 5 |
100 x 2 |
S.I. for last 6 months = Rs. | ❨ | 105 x 10 x 1 | ❩ | = Rs. 5.25 |
100 x 2 |
So, amount at the end of 1 year = Rs. (100 + 5 + 5.25) = Rs. 110.25
∴ Effective rate = (110.25 - 100) = 10.25%
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