Question

iQ

A question


One person has 100 in his hand. He should buy a plate, a glass and a spoon with this rupee.

All three of these must be purchased for 100.

But not more than Rs.100 or less than Rs.100


You can get 5 / - per plate, 3 / - per glass and 40 / - for 1 / - per spoon


If so how many plates?
How much glass?
How much is it?
Buy it

Answer 1

One person has 100 in his hand. He should buy a plate, a glass and a spoon with this rupee.

11 plates × 5 / - per plate, 5 glasses × 3 / - per glass and 10 spoons × 40 / - for 1 / - per spoon

11 plates = 11 × 5 = 55 /-

5 glasses = 5 × 3 = 15 /-

40 spoons = 40 × 1 = 40 /-

55 + 15 + 40 = 100 /-

For 5 / - per plate, 3 / - per glass and 40 / - for 1 / - per spoon, we get,

11 plates

5 glasses

40 spoons

Answer 2

Given :   1 no glass for Rs 3 ,01 no plate is 05 rupees and 40 nos spoons only Rs 01.  100 items to be bought in exactly Rs 100

To Find :   how many spoons, plates and glasses​ can be bought

Solution:

1 no glass for Rs 3 ,

01 no plate is 05 rupees

40 nos spoons only Rs 01

We can buy spoons 0  , 40  or 80  

0 Spoon not possible as   (glass & plates are costlier than rs 1 each)

so we would not be able to buy 100 items in Rs 100

if We buy 40  Spoons in Rs 1

we are left with Rs 99

in 99 Rs maximum we can buy 99/3  = 33 Glasses

40 + 33 = 73 < 100

so we would not be able to buy 100 items in Rs 100

so  40 Spoons also not possible

80 Spoons in Rs 2

We left with Rs  98

and we need to buy  in total  100 - 80 = 20 (Glasss & Plates)

G + P = 20    Eq1

3G + 5P = 98   Eq2

Eq2 - 3 * Eq1

=> 5P - 3P = 98 - 60

=> 2P = 38

=> P = 19

  G = 1

1  Glass    - Rs 3

19 Plates  - Rs 95

80 Spoons - Rs 2

100 items   - Rs  100

80 Spoons , 19 Plates and 1 Glass can be bought in Rs 100

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