The cost of a mango is ₹ 8 each, while a guava costs ₹ 6 each. A woman spends a total of ₹ 52 on these fruits. How many mangoes and guavas did she buy?

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  1. 5 mangoes and 1 guava
  2. 5 mangoes and 2 guavas
  3. 4 mangoes and 3 guavas
  4. 3 mangoes and 4 guavas

Answer (Detailed Solution Below)

Option 2 : 5 mangoes and 2 guavas
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Detailed Solution

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Given:

Cost of each mango = Rs 8

Cost of each guava = Rs 6

Total cost = Rs 52

Calculation:

Let M be and G be the number of mango and guava.

As per the question,

⇒ 8M + 6G = 52    ----- (1)

 Putting the values given in the option one by one, we will get the answer .

If we check for Option 2 then,

M = 5 and G = 2

⇒ (8 × 5) + (6 × 2) = 40 + 12 = 52.

∴ The correct answer is Option 2).

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