| | Question 18

A number is divided into two parts in such a way that 60% of 1st part is 2 more than the 40% of 2nd part and 60% of the 2nd part is 1 more than the 40% of 1st part.Find the number.
(A) 15
(B) 17
(C) 19
(D) 21


Answer: (A)

Explanation: Acc. to question
60% a – 40% b = 2
(60/100)a – (40/100)b = 2
6a – 4b = 20…………(1) x4

and 60% b – 40% a = 1
(60/100)b – (40/100)a = 1
6b – 4a = 10………….(2) x6

From (1) and (2)
36b – 16b = 140
20b = 140
b= 7
Put b in 1, we get a=8
Hence, the number is (7+8)=15


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