Question

I have 100 rupees in hand...I needed some spoons,plates and glasses...1 no glass for Rs 3 ,01 no plate is 05 rupees and 40 nos spoons only Rs 01.. but some conditions is mentioned one is total quantity of this three items is round figure 100 and total amount also is round figure 100..not less than and more than of 100... hence total how many spoons, plates and glasses​

Answer 1

Given :   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

=> Either we can buy spoons 0  , 40  or 80  

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

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  40 Spoons not possible

80 Spoons in Rs 2

We left with Rs  98

and we need to buy  in total 20 Glasss & Plates

G + P = 20

3G + 5P = 98

=> 5P - 3P = 98 - 60

=> 2P = 38

=> P = 19

G = 1

1  Glass    - Rs 3

19 Plates  - Rs 95

80 Spoons - Rs 2

100    -  100

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

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