Two Mangoes, three grapes and four apples cost Rs. 15. Three Mangoes, two grapes and one apple cost Rs. 10. I bought 3 Mangoes, 3 grapes and 3 apples. How much did I pay?

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Solution

Let Number of mangoes be $= X$
Let the number of grapes $= Y$
Let the number of apples $= Z$
Given that $2 X + 3 Y + 4 Z = 15$ ..... $(1)$
and $3 X + 2 Y + Z = 10$ ........... $(2)$
Adding $(1)$ and $(2)$ we get
$5 X + 5 Y + 5 Z = 25$
Or $X + Y + Z = 5.$
So cost of $3$ Mangoes, $3$ grapes and $3$ apples will be $= 3 \times (X + Y + Z) = 3 \times 5 \Rightarrow 3 X + 3 Y + 3 Z = 15$
$∴$ I paid Rs. $15$

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Two Mangoes, three grapes and four apples cost Rs. 15. Three Mangoes, two grapes and one apple cost Rs. 10. I bought 3 Mangoes, 3 grapes and 3 apples. How much did I pay?

Let Number of mangoes be =XLet the number of grapes=YLet the number of apples=ZGiven that 2X+3Y+4Z=15 .....(1)and 3X+2Y+Z=10 ........... (2)Adding (1) and (2) we get 5X+5Y+5Z=25 Or X+Y+Z=5. So cost of 3 Mangoes, 3 grapes and 3 apples will be =3×(X+Y+Z)=3×5⇒3X+3Y+3Z=15 ∴ I paid Rs.15