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A number is divided into two parts in such a way that 30% of first part is 25 more than the 20% of second part. 50% of second part is 33.5 more than the 60% of first part. What is the number?1). 14752). 16553). 14254). 1905 |
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Answer» Let the two parts of no. is a and b and the no. is (a + b) From the question, 30% of a = 20% of b + 25 ⇒ 3/10 × a = 1/5 × b + 25 Again, from the question 50% of b = 60% of a + 33.5 ⇒ 1/2 × b = 3/5 × a + 25 ⇒ 5B – 6a = 335 ⇒ 5b – 2 × 3a = 335 ⇒ 5b – 2 × (2b + 250) = 335 ⇒ 5b – 4b – 500 = 335 ⇒ b = 835 So, 3a = 2b + 250 = 2 × 835 + 250 = 1920 ⇒ a = 640 Hence, a + b = 640 + 835 = 1475 |
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