Question

A gardener has 1000 plants. He wants to plant these in such a way that the number of
rows and number of columns remain same. Find the minimum number of plants he
needs more for this.
A shopkeeper purchased 200 bulbs for Rs 10 each. However 5 bulbs were fused an
had to be thrown away. The remaining was sold at Rs 12 each. Find the gain or los​

Answer 1

Answer:

1. Least number to be added to 1000 is to be found.

  Least number to be added = 24

  Number of rows = Number of columns = 32

2. Cost price of 200 bulbs = 200 x 10 = 2000 rs.

   Selling price of 195 bulbs ( 5 bulbs are fused) = 195 x 12 = 2340 rs.

   Profit = Selling price - Cost price = 2340 - 2000 = 340 rs.

Answer 2

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A gardener has 1000 plants. He wants to plant these in such a way that the number of rows and the number of columns remain same. Find the minimum number of plants he needs more for this.

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1000 is not a perfect square.

$\implies \tt{ {31}^{2} < 1000 < {32}^{2} }$

Number to be added:-

$\implies \tt{1024 - 1000} = 24$

$\implies \tt{ 1000 + 24} =10 24$

Hence, Gardener requires 24 more plants.

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