IQ 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 You can get 5 / - per plate, 3 / - per glass and 40 / - for 1 / -. If so how many plates? How much glass? How much is it? Buy it Let all the wise men come out
Answers
Given:
There are Rs 100
1 plate = Rs 5
1 glass = Rs 3
40 spoons = Rs 1
Solution:
Since spoons will have to be bought in multiples of 40:
We will first buy 1 set of spoons.
⇒ Item we have = 40 spoons
⇒ Amount left = 100 - 1
⇒ Amount left = Rs 99
Now with Rs 99, we know that 99 is divisible by 3 but not by 5:
We will buy as many $5 plates as possible
⇒ Number of plates that can be bought = 99 ÷ 5
⇒ Number of plates that can be bought = 19 Remainder R4
⇒ Item we have : 40 spoons and 19 plates
⇒ Amount left = 99 - (19 x 5)
⇒ Amount left = Rs 4
Now with Rs 4, we know that 4 is divisible by 1 but not by 3:
We will buy as many glass as possible
⇒ Number of glass that can be bought = 4 ÷ 3
⇒ Number of glass that can be bought = 1 Remainder Rs 1
⇒ Item we have : 40 spoons, 19 plates and 1 glass
⇒ Amount left = 4 - 3
⇒ Amount left = Rs 1
Now with Rs 1, we will buy another set of spoons:
⇒ Number of spoons that can bought = 40
⇒ Item we have : 80 spoons, 19 plates and 1 glass
⇒ Amount left = 1 - 1
⇒ Amount left = Rs 0
Answer: 80 spoons, 19 plates and 1 glass
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
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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