NTSE Stage 2 SAT 2017 Question Paper

Let number of apples, bananas and coconut be x, y and z respectively.
So A.G.C.,
$2\mathrm{x}+3\mathrm{y}+\mathrm{z}=26....\left(1\right)$
$3\mathrm{x}+2\mathrm{y}+2\mathrm{z}=35....\left(2\right)$
on multiplying equation number (1) by 3 and equation number (2) by 2 we get;
$6\mathrm{x}+9\mathrm{y}+3\mathrm{z}=78$
$6\mathrm{x}+4\mathrm{y}+4\mathrm{z}=70$
Now on adding we get
$12\mathrm{x}+13\mathrm{y}+7\mathrm{z}=148$
Hence cost of 12 Apples, 13 Bananas and 7 coconut is ₹ 148.
So option (2) is correct.