Quant Question Of The Day: 134
Two books, four pens and five files cost Rs. 50. Three books, six pens and seven files cost Rs. 70. Find the cost of each file. Letx,y, z be the cost of each book, pen and file respectively.
Then we have,
2x + 4y + 5z = 50 ….. (1)
3x + 6y + 7z = 70 …. (2)
Here, the coefficients of x and y in equation (1) are in the ratio 1 : 2 whichis the same as that of the ratio in equation (2) . As the ratio of thesecoefficients are same we can find thevalue of variable z.
if we multiply (1) by 3 and (2) by 2 and subtract one from the other variablesx and y are eliminated and we get the value of z as 10.
Hence, The cost of each file is Rs . 10.
See our previous ‘Questions of the Day’:
https://tathagat.mba/quant-question-of-the-day-133/
https://tathagat.mba/quant-question-of-the-day-132/
10 Rs.
10