A total sum of Rs. 279 is distributed among three friends P, R, and Z in such a way that P gets five times the rupees R gets, Z gets 3 times the rupees R gets. How many rupees does P get?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 155
| Understanding | Application |
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Suppose P, R and Z have Rs. P, R and Z with them respectively: P + R + Z = 279 ...... (I) P = 5R ......(II) Z = 3R .......(III) |
From equations (I), (II) and (III), 5R + R + 3R = 279 ⇒ 9R = 279 ⇒ R = 279/9 ⇒ R = 31 Therefore, P = 5 × 31 = 155 Hence, P gets 155 Rupees. |