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Aman purchased 4 pens, 5 pencils and 8 scales for Rs. 120. Had Aman purchased 7 pens, 8 pencils and 11 scales, he would have to pay Rs. 192. Pankaj demanded 2 pens, 2 pencils and 2 scales. If Aman purchased only what was demanded by Pankaj, then how much would he have paid?

Aman purchased 4 pens, 5 pencils and 8 scales for Rs. 120. Had Aman purchased 7 pens, 8 pencils and 11 scales, he would have to pay Rs. 192. Pankaj demanded 2 pens, 2 pencils and 2 scales. If Aman purchased only what was demanded by Pankaj, then how much would he have paid? Correct Answer <span style="">Rs. 48</span>

Given:

Aman purchased 4 pens, 5 pencils and 8 scales for Rs. 120.

Aman purchased 7 pens, 8 pencils and 11 scales, he would have to pay Rs. 192.

Concept used:

Use the algebra equation form.

Calculation:

Let Aman purchased pens, pencils and scales be x, y and z.

Aman purchased 4 pens, 5 pencils and 8 scales for Rs. 120.

⇒ 4x + 5y + 8z = 120      ----(1)

Aman purchased 7 pens, 8 pencils and 11 scales

⇒ 7x + 8y + 11z = 192      ----(2)

Subtract equation 1 from equation 2

⇒ (7x + 8y + 11z) - (4x + 5y + 8z) = 192 - 120

⇒ 3x + 3y + 3z = 72

⇒ x + y + z = 24

According to the question,

Pankaj demanded 2 pens, 2 pencils and 2 scales.

⇒ 2(x + y + z)

⇒ 2 × 24

⇒ 48

∴ He have paid Rs. 48.

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