Ten refrigerators and four mobile phones together cost ₹2,10,000 while six refrigerators and two mobile phones together cost ₹1,22,000. The cost (in ₹) of one refrigerator and two mobile phones is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 37000
Let the cost of 1 refrigerator and 1 mobile phone be R and M respectively.
ATQ
10R + 4M = 210000 ..(1
6R + 2M = 122000 ..(2
Multiplying eq(2 by 2 -
12R + 4M = 244000 ..(3
Subtracting eq(1 from (3 -
(12R + 4M) - 10R + 4M = 244000 - 210000
2R = 34000
R = 17000
Putting the value of R in eq(2 -
6(17000) + 2M = 122000
2M = 122000 - 102000
M = 10000
Cost of 1 refrigerator and 2 mobile phones = 17000 + 2(10000) = 37000