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The total cost of 8 apples and 5 oranges is Rs 92 and the total cost of 5 apples and 8 oranges is Rs 77, Find the cost of 2 oranges and 3 apples. 

(a) Rs 30 

(b) Rs 35 

(c) Rs 38 

(d) Rs 70

1 Answer

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Best answer

(b) Rs 35

Let the cost of one apple and one orange be Rs x 

and Rs y respectively. 

Then, according to the given question,

8x + 5y = 92   ........(i)

5x + 8y = 77  .........(ii)

Multiplying eqn (i) by 5 and eqn (ii) by 8, we get

40x + 25y = 460 ….....(iii)

40x + 64y = 616 …....(iv)

Subtracting eqn (iii) from eqn (iv),

39y = 156

\(\Rightarrow\) y = \(\frac{156}{39}\) = 4

From (i) putting the value of y, we get

8x + 20 = 92

\(\Rightarrow\) 8x = 72 \(\Rightarrow\)x = 9

\(\therefore\) Cost of 2 oranges and 3 apples

= 2 × Rs 4 + 3 × Rs 9 = Rs 8 + Rs 27 = Rs 35.

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