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

Given:

(i) One person has Rs 100 with him.

(ii) Plates cost Rs 5 each

(iii) Glass costs Rs 3 each

(iv) 40 spoons cost Rs 1.

To find:

(i) Number of items he can buy by spending Rs 100 fully.

Solution:

First of all let us buy 40 spoons for Rs 1.

Money remaining = Rs (100-1) = Rs 99

As 99 is not perfectly divided by 5, the entire money will not get exhausted by buying the plates only.

So,  number of plates = Total money/Price of 1 plate

= 99/5

= 19.8

≈ 19 plates           [Number of items cant be fractional]

19 plates costs Rs (19*5) = Rs 95

Money left = Rs (100-95-1)

= Rs 4

From Rs 4, we can get 1 glass, which costs Rs 3.

Now, money remaining = Rs (4-3)

= Rs 1

From Rs 1, we can buy another 40 spoons.

Thus entire Rs 100 is exhausted and we have bought:

1) 19 plates

2) 1 glass

3) 80 spoons.

Answer 2

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

Learn more:

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