Math, asked by mokshi535, 1 year ago

An Increase of 20% in the price of mangoes enables a person to purchase 4 mangoes less for Rs.40 The price of 15 mangoes before increase was...

Answers

Answered by sicista
18

The price of 15 mangoes before increase was Rs. 25

Explanation

Lets assume, the original price of each mango before the increase was Rs. X

So, the number of mangoes the person can buy for Rs. 40 was =  \frac{40}{X}

Now the price of each mango is increased by 20%. So, the recent price of each mango will be  =X+(X*0.20) = X+ 0.2X = 1.2X

So, the number of mangoes for Rs. 40 will be :  \frac{40}{1.2X}

According to the question, this number of mangoes is 4 less than the number of mangoes before price increase. So..

 \frac{40}{X}-\frac{40}{1.2X}  = 4 \\ \\ \frac{(40*1.2)-40}{1.2X}=4\\  \\ \frac{48-40}{1.2X}=4\\  \\ \frac{8}{1.2X} =4\\ \\ 4*1.2X=8\\ \\ 4.8X=8\\ \\ X= \frac{8}{4.8}\\  \\ X=\frac{80}{48}=\frac{5}{3}

So, the original price of each mango was Rs.  \frac{5}{3}

Thus, the price of 15 mangoes before increase was:

Rs.  \frac{5}{3}*15

= Rs.  25

Answered by sahebcatp804gy
9

Answer: 25 Rs

Step-by-step explanation:

Here we know 40 Rs is the price for before and after the inc price that is customer has only 40 to spend before and after.

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