Question

A dealer sold 20 pens for 60 and gained 20%.how many pens did he buy for rs 60?​

Answer 1

The dealer bought 24 pens for Rs. 60

Given :

A dealer sold 20 pens for Rs. 60 and gained 20%.

To find :

The number of pens the dealer bought for Rs. 60

Solution :

Step 1 of 2 :

Form the equation to calculate number of pens the dealer bought for Rs. 60

Let cost price of each pen = Rs. c

The dealer sold 20 pens for Rs. 60

∴ Selling price of each pen

= Rs. 60/20

= Rs. 3

The dealer gained 20%

So by the given condition

$\displaystyle \sf c + \bigg(c \times \frac{20}{100} \bigg) = 3$

Step 2 of 2 :

Calculate number of pens the dealer bought for Rs. 60

$\displaystyle \sf c + \bigg(c \times \frac{20}{100} \bigg) = 3$

$\displaystyle \sf{ \implies }c + \frac{20c}{100} = 3$

$\displaystyle \sf{ \implies } \frac{100c + 20c}{100} = 3$

$\displaystyle \sf{ \implies } \frac{120c}{100} = 3$

$\displaystyle \sf{ \implies }c = 3 \times \frac{100}{120}$

$\displaystyle \sf{ \implies }c = 2.50$

So cost price of each pen = Rs. 2.50

Hence number of pens the dealer bought for Rs. 60

$\displaystyle \sf = \frac{60}{2.50}$

$\displaystyle \sf = 24$

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