The sides of triangle are in the ratio 1/3 : 1/4 : 1/5 and its perimeter is 94 c

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Question
The sides of triangle are in the ratio 1/3 : 1/4 : 1/5 and its perimeter is 94 cm. the length of smallest side is?
Options
A. 18.8 cm
B. 23.5 cm
C. 24 cm
D. 31.3 cm

Correct Answer

24 cm

Explanation

Ratio of sides 1/3 : 1/4 : 1/5 = 20 : 15 : 12
Length of smallest side = 94 x (12/47) cm. = 24 cm.

Ratio and Proportion problems

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1.
Rs. 2430 has been divided among A , B, C in such a way their if their shares be diminished by Rs. 5, Rs.10 and Rs. 15 respectively. The remainders are in the ratio 3 : 4 : 5. Then A's share is?
Options
A. Rs . 800
B. Rs. 600
C. Rs. 595
D. Rs. 605

2.
Rs. 680 has been divided among A, B, C such that A gets 2/3 of what B gets 1/4 of what C gets. Then B's share is?
Options
A. Rs. 60
B. Rs. 80
C. Rs. 120
D. Rs. 160

3.
94 is divided into two parts in such a way that fifth parts of the first and eighth parts of the second are in the ratio 3 : 4. The first parts is?
Options
A. 27
B. 30
C. 36
D. 48

4.
Some money is divided among A, B and C in such a way that 5 times A's share 3 times B's share and 2 times C's share are all equal. the ratio between the share of A, B, C is?
Options
A. 5 : 3 : 2
B. 2 : 2 : 5
C. 15 : 10 : 6
D. 6 : 10 : 15

5.
A and B are two alloys of gold and copper prepared by mixing metals in proportions 7 : 2 and 7 : 11 respectively. If equal quantities of the alloys are melted to from a third alloy C, the proportion of gold and copper in C will be?
Options
A. 5 : 9
B. 5 : 7
C. 7 : 5
D. 9 : 5

6.
Rs. 53 is divided among A, B and C in such a way that A gets Rs. 7 more than what B gets and B gets Rs. 8 more than what C gets. The ratio of their shares is?
Options
A. 16 : 9 : 18
B. 25 : 18 : 10
C. 18 : 25 : 10
D. 15 : 8 : 30

7.
A sum of money is divided among A, B, C so that to each rupee A gets, B gets 65 paise and C gets 35 paise. If C's share is Rs. 28, the sum is?
Options
A. Rs. 120
B. Rs. 140
C. Rs. 160
D. Rs. 180

8.
The incomes of A and B are in the ratio 3 : 2 and their expenditures in the ratio 5 : 3. If each saves Rs. 1,000. A's income is?
Options
A. Rs. 3000
B. Rs. 4000
C. Rs. 6000
D. Rs. 9000

9.
The ratio of the first and second class fares between two stations is 4 : 1 and that of the number of passengers travelling by first and second class is 1 : 40. If Rs. 1100 is collected as fare, the amount collected from first class passengers is?
Options
A. Rs. 275
B. Rs. 315
C. Rs. 315.50
D. Rs. 100

10.
The students in three classes are in the ratio 2 : 3 : 5. If 20 students are increased in each class. The ratio changes to 4 : 5 : 7. The total number of students before the increase were?
Options
A. 10
B. 90
C. 100
D. None of these

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