∴ Required ratio = |
|
= | 6PR | = | 6 | = 2 : 3. | ||||
|
9PR | 9 |
Gain in 2 years |
|
||||||||||||||||
= Rs. (625 - 400) | |||||||||||||||||
= Rs. 225. |
∴ Gain in 1 year = Rs. | ❨ | 225 | ❩ | = Rs. 112.50 |
2 |
Since the principal is not given, so data is inadequate.
Note:
Here, original rate is for 1 year(s); the new rate is for only 4 months i.e. ⅓ year(s).
∴ | ❨ | 725 x R x 1 | ❩ | + | ❨ | 362.50 x 2R x 1 | ❩ | = 33.50 |
100 | 100 x 3 |
⟹ (2175 + 725) R = 33.50 x 100 x 3
⟹ (2175 + 725) R = 10050
⟹ (2900)R = 10050
⟹ R = | 10050 | = 3.46 |
2900 |
∴ Original rate = 3.46%
Principal = Rs. | ❨ | 100 x 5400 | ❩ | = Rs. 15000. |
12 x 3 |
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%
Then, | 1920 - x | x 100 = | x - 1280 | x 100 |
x | x |
⟹ 1920 - x = x - 1280
⟹ 2x = 3200
⟹ x = 1600
∴ Required S.P. = 125% of Rs. 1600 = Rs. | ❨ | 125 | x 1600 | ❩ | = Rs 2000. |
100 |
Then, 3(y - x) = (2y - x) ⟹ y = 2x.
Profit = Rs. (y - x) = Rs. (2x - x) = Rs. x.
∴ Profit % = | ❨ | x | x 100 | ❩% = 100% |
x |
Cost Price of 1 toy = Rs. | ❨ | 375 | ❩ | = Rs. 31.25 |
12 |
Selling Price of 1 toy = Rs. 33
So, Gain = Rs. (33 - 31.25) = Rs. 1.75
∴ Profit % = | ❨ | 1.75 | x 100 | ❩% | = | 28 | % = 5.6% |
31.25 | 5 |
C.P. of 30 articles = Rs. | ❨ | 5 | x 30 | ❩ | = Rs. 25. |
6 |
S.P. of 30 articles = Rs. | ❨ | 6 | x 30 | ❩ | = Rs. 36. |
5 |
∴ Gain % = | ❨ | 11 | x 100 | ❩% = 44%. |
25 |
Selling Price (S.P.) = Rs. 5800.
Gain = (S.P.) - (C.P.) = Rs.(5800 - 5500) = Rs. 300.
Gain % = | ❨ | 300 | x 100 | ❩% | = 5 | 5 | % |
5500 | 11 |
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