1.

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

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

3A = 2B + 250

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


Discussion

No Comment Found

Related InterviewSolutions