A man bought some pens for ₹60. If the price of each pen had been ₹1 less, he would have got 3 pens more, how much did each pen co

A man bought some pens for ₹60. If the price of each pen had been ₹1 less, he would have got 3 pens more, how much did each pen cost him (in ₹)​

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Madelyn

2 thoughts on “A man bought some pens for ₹60. If the price of each pen had been ₹1 less, he would have got 3 pens more, how much did each pen co”

  1. Answer:

    A boy bought some pencils for $60. If he had paid $1 less for each pencil, he could have bought 5 more pencils. How many pencils did he pay for?

    Answer =15

    Now calculation starts as,

    As per the information given , if we decrease the cost per pencil by 1 then we can get more of 5 pencils, so

    Taking a simple approach

    We get a hint that it might be a number nearing 5, that is a cost for one pencil, so

    60/5=12

    And reducing amount per pencil by one,

    60/4=15

    Similarly ,

    60/3=20

    i.e, +5 than the previous number of pencils bought.

    And volla, we have the answer is 15.

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  2. Answer:

    Rs 5

    Step-by-step explanation:

    Cost of pencils = Total Cost / Cost of 1

    Cost of pencils = 60/x

    Cost of pencils with Rs 1 less = 60/(x-1)

    So, [60/(x-1)] – [60/x] = 3

    => 60x – 60x + 60 = 3x² – 3x

    => 3x² – 3x- 60=0

    => x² – x – 20 = 0

    => x² – 5x + 4x – 20 = 0

    => x(x – 5) + 4(x – 5) = 0

    => (x + 4)(x – 5) = 0

    x=5 as x cannot be negative . Thus Rs5 is the cost of each pencil and for Rs60 initially 60÷5 = 12 pencils could have been got.

    Please mark me brainliest!

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