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Aptitude · Q288

Ratio

Competitive Exams · Aptitude · question 288

Q288

A's income is Rs. 140 more than B's income ans C's income is Rs. 80 more than D's income. If the ratio of A's and C's income is 2 : 3 and the ratio of B's and D's income is 1 : 2, then the incomes of A, B, C and D are respectively = ?

A.
Rs. 260, Rs. 120, Rs. 320, Rs. 240
B.
Rs. 300, Rs. 160, Rs. 600, Rs. 520
C.
Rs. 400, Rs. 260, Rs. 600, Rs. 520
Answer
D.
Rs. 320, Rs. 180, Rs. 480, Rs. 360

Answer: Option C

Solution

Answer: Option C
Solution:
A : C = 2 : 3 or 2x : 3x
B : D = 1 : 2 or y : 2y
According to the question,
2x - 140 = y......(i)
3x- 80 = 2y.......(ii)
multiply equation (i) by 2 and solved

Now put the value of x in equation .... (i)
2 × 200 - 140 = y

A's salary = 2x = 200 × 2 = Rs. 400
B's salary = y = 260 × 1 = Rs. 260
C's salary = 2x = 3 × 200 = Rs. 600
D's salary = 2y = 2 × 260 = Rs. 520