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P and Q are two natural numbers. 25% of P is 14 more than 10% of Q. Also, 10% of P is 20 less than 20% of Q. What is the product of P and Q?1). 180002). 192003). 188804). 17400 |
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Answer» <P>25% of P is 14 more than 10% of Q. ⇒ 0.25P = 14 + 0.1Q ⇒ 5P = 280 + 2Q 10% of P is 20 less than 20% of Q. ⇒ 0.1P = 0.2Q - 20 ⇒ P = 2Q - 200 ⇒ 5P = 10Q - 1000 Equating 5P from both equations, ⇒ 280 + 2Q = 10Q - 1000 ⇒ Q = 1280/8 = 160 ⇒ P = 2Q - 200 = 320 - 200 = 120 ∴ PQ = 120 × 160 = 19200 |
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