1.

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

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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