Question

anjali buys 4 pens and 9 pencils for rs 134. If she sells pens at 10% profit and pencils at 20% profit, she earns a total of rs 18.8. How much money did she have to pay for the pens?

Answer 1

Answer:

She had to pay Rs. 80 for the pens.

Step-by-step explanation:

Let the cost of each pen be Rs. x and that of the pencils be Rs. y

Then the total cost of pens and pencils be

= Rs. (4x + 9y)

By the given condition,

4x + 9y = 134 ..... (1)

At 10% profit, the profit in selling 4 pens be

= Rs. (4x * 10/100)

= Rs. 0.4x

and at 20% profit, the profit in selling 9 pencils be

= Rs. (9y * 20/100)

= Rs. 1.8y

By the given condition,

0.4x + 1.8y = 18.8 ..... (2)

From (2), we get

y = (18.8 - 0.4x)/1.8

Substituting y = (18.8 - 0.4y)/1.8 in (1), we get

4x + 9 (18.8 - 0.4x)/1.8 = 134

or, 4x + 94 - 2x = 134

or, 2x = 40

or, 4x = 80

∴ she had to pay Rs. 80 for the pens.