Ratio and prop del -1

01.
02.Using only 2, 5, 10, 25 and 50 paise coins, what will be the minimum number of coins required to pay exactly 78 paise, 69 paise and Rs 1.01 to three different persons?
(a) 19(b) 20(c) 17(d) 18
03.Instead of walking along two adjacent sides of a rectangular field, a boy took a short cut along the diagonal and saved a distance equal to half the longer side. Then, the ratio of the shorter side to the longer side is ?
(a) 1:2(b) 2:3(c) 1:4(d) 3:4
04.
05.A piece of string is 40 cm long. It is cut into three pieces. The longest piece is 3 times as long as the middle-sized and the shortest piece is 23 cm shorter than the longest piece. Find the length of the shortest piece(in cm) ?
(a) 27(b) 5(c) 4(d) 9
06.Fresh grapes contain 90% water by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 20 kg of fresh grapes ?
(a) 2 Kg(b) 2.4 Kg(c) 2.5 Kg(d) None of these
07.
08.After allowing a discount of 11.11% , a trader still makes a gain of 14.28%. At how many percent above the cost price does he mark on his goods ?
(a) 28.56%(b) 35%(c) 22.22%(d) None of these
09.
10.Two liquids A and B are in the ratio 5 : 1 in container 1 and 1 : 3 in container 2. In what ratio should the contents of the two containers be mixed so as to obtain a mixture of A and B in the ratio of 1 : 1 ?
(a) 2 : 3(b) 4 : 3(c) 3 : 2(d) 3 : 4
Answers : Find Detailed Solutions at the end of the the page.


1.A2.A
3.D4.B
5.C6.C
7.D8.A
9.D10.D
SET 2

01.
02.I sold two watches for Rs 300 each, one at the loss of 10% and the other at the profit of 10%.What is the percentage of loss(-) or profit(+) that resulted from transaction?
(a) (+)10(b) (-)1(c) (+))1(d) (-)10
03.
04.A dealer offers a cash discount of 20% and still makes a profit of 20%, when he further allows 16 articles to a dozen to a particular sticky bargainer. How much percent above the cost price were his wares listed?
(a) 100%(b) 80%(c) 75%(d) 66.66%
05.
06.
07.From each of two given numbers, half the smaller number is subtracted. Of the resulting numbers the larger one is three times as large as the smaller. What is the ratio of the two numbers ?
(a) 2:1(b) 3:1(c) 3:2(d) None of these
08.
09.If the work done by (x-1) men in (x+1) days is to the work done by (x+2) men in (x-1)days is in the ratio 9:10, then the value of x is ?
(a) 10(b) 12(c) 8(d) 15
10.
Answers : Find Detailed Solutions at the end of the the page. 
1.A2.B
3.C4.A
5.B6.C
7.A8.B
9.C10.B

2.
78 = 50 + 10 + 10 + 2 + 2 + 2 + 2 = 7
69 = 50 + 10 + 5 + 2 + 2 = 5
1.01 = 50 + 25 + 10 + 10 + 2 + 2 + 2 = 7
Hence, Number of coins 7 + 5 + 7 = 19 Coins
(a)
Profit_Loss_solution_01_P_03
4.

5.
Let the largest piece be 3x, then middle and shortest piece would be x and (3x – 23) respectively.
or 3x + x + ( 3x – 23) = 40
i.e. x=9, therefore shortest piece= (3 x 9 – 23) = 4
(c)
6.
Let y kg of dry grapes is obtained.
Then, solid part in fresh grapes = solid part in the dry grapes
0.10 x 20 = 0.8 x y
y=2.5 Kg.
(c)
7.

(d)
8.
Let the CP be Rs. 100 then SP= Rs. 114.28
(Profit=14.28%)
This SP is arrived after giving a discount of 11.11% on marked price.
Hence if marked price = y
Then, y x 0.8889=114.28  » x=128.56
which is 28.56 % more than the CP.
9.

1.

(a)
2.
In such case where SP of two items is same and loss % and profit % is also same, there is always a loss on such transaction and it is given by
loss percentage= (10)2/100= 1%
3.

4.
Let the CP of the article be Rs x, since he earns a profit of 20%, Hence SP = 1.2x. It is given that he incurs loss by selling 16 articles at the cost of 12 articles.
loss=(16-12)x100/16=25%
» His selling price = SP x 0.75
Now, SP x 0.75= 1.2x
SP=1.2x/0.75 = 1.6x
This SP is arrived after giving a discount of 20% on MP.
Hence, MP= 1.6x/0.8=2x. It means that article has been marked 100% above the cost price.

6.

Profit, Loss & Ratio and Proportion-Solution-07
Ratio and Proportion Profit and Loss solution 02 problem 08
9. We can solve this problem by taking the different values of x=10, 12, 8, 15
(c)

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