Math, asked by advaith222, 7 months ago

There total 63 gifts are the price of 63 gifts is 30000.in that gifts 100 rupees, 25 rupees, gifts are there. how many 25 rupees gifts are there

Answers

Answered by mddilshad11ab
101

\sf\large\underline{Correct\: Question:}

There are total 63 gifts and the price of 63 gifts is 3000. In that gifts 100 rupees, 25 rupees, gifts are there. How many 25 rupees gifts are there.

\sf\large\underline{Let:}

  • \tt{The\: Number\:of\:Rs.100\: gift=x}
  • \tt{The\: Number\:of\:Rs.25\: gift=y}

\sf\large\underline{To\: Find:}

  • \tt{Number\:of\:Rs.25\: gifts=?}

\sf\small\underline{Given\:in\: Case\:(i):}

\rm{\implies Types\:_{(gifts)}=Number\:_{(gifts)}}

\tt{\implies x+y=63-------(i)}

\sf\small\underline{Given\:in\: Case\:(ii):}

\rm{\implies Sum\:_{(cost\:of\:gifts)}=Total\:_{(amount)}}

\tt{\implies 100x+25y=3000--------(ii)}

  • In eq 1st multiplying by 100 than subtracting(ii)]

\tt{\implies 100x+100y=6300}

\tt{\implies 100x+25y=3000}

\tt{\implies 75y=3300}

\tt{\implies y=44}

  • Putting the value of y=44 in eq 1]

\tt{\implies x+y=63}

\tt{\implies x+44=63}

\tt{\implies x=63-44}

\tt{\implies x=19}

\sf\large{Hence,}

\tt{\implies The\: Number\:of\:Rs.25\: gift=44}

Answered by CᴀɴᴅʏCʀᴜsʜ
1

Answer:

44

Step-by-step explanation:

There is a mistake in your question .

Total price of gift will be ₹3000 not ₹30000 .

Let the no. of ₹100 gifts be x

and the no. of ₹25 gifts be y

A/q

x + y = 63 .............. ( i )

and

100x + 25y = 3000 ........ ( ii )

Now,

eq. (i) × 100

=> 100x + 100y = 6300 ........ ( iii )

And,

eq. (iii) - eq. ( ii )

=> 100x + 100y = 6300

=> -( 100x + 25y = 3000 )

______________________

=> 75 y = 3300

=> y = 3300/75

=> y = 44

Now, from eq. (i)

x + y = 63

=> x + 44 = 63

=> x = 63 - 44

x = 19

Hence,

There are 44 ₹25 gifts .

Ans...

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