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A number is divided into two parts in such a way that 80% of 1st part is 3 more than 60% of 2nd part and 80% of 2nd part is 6 more than 90% of the 1st part. Then the number is
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- 125
- 130
- 135
- 145
Correct Option: C
First part = p and second part = q.
| ∴ | = | |||
| 100 | 100 |
| ⇒ | = | + 3 | ||
| 5 | 5 |
⇒ 4p – 3q = 15 ...(i)
Again,
| = | + 6 | |||
| 5 | 10 |
⇒ 8q = 9p + 60
⇒ 8q – 9p = 60 ...(ii)
By equation (i) × 8 + (ii) × 3,
32p – 24q = 120
24q – 27p = 180
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5p = 300 ⇒ p = 60
From equation (i)
4 × 60– 3q = 15
⇒ 3q = 240 – 15 = 225
| ⇒ q = | = 75 | |
| 3 |
∴ p + q = 60 + 75 = 135
