Ratio, Proportion
- If the ratio of cost price and selling price of an article is 4 : 5, then the percentage of profit will be
-
View Hint View Answer Discuss in Forum
Let the C.P. be Rs. 4x.
Its S.P. = Rs. 5x.
Profit = Rs. (5x – 4x) = Rs. x.∴ Profit per cent = x × 100 4x
= 25%Correct Option: D
Let the C.P. be Rs. 4x.
Its S.P. = Rs. 5x.
Profit = Rs. (5x – 4x) = Rs. x.∴ Profit per cent = x × 100 4x
= 25%
- The ratio of the amount of work done by (x – 1) labours in (x +1) days and that done by (x +1) labours in (x + 2) days is 5 : 6. Then the value of x is
-
View Hint View Answer Discuss in Forum
According to the question,
(x – 1)(x + 1) = 5 (x + 1)(x + 2) 6 ⇒ x – 1 = 5 x + 2 6
⇒ 6x – 6 = 5x + 10
⇒ 6x – 5x = 10 + 6
⇒ x = 16Correct Option: A
According to the question,
(x – 1)(x + 1) = 5 (x + 1)(x + 2) 6 ⇒ x – 1 = 5 x + 2 6
⇒ 6x – 6 = 5x + 10
⇒ 6x – 5x = 10 + 6
⇒ x = 16
- The railway fares of air conditioned sleeper and ordinary sleeper class are in the ratio 4 : 1. The number of passengers travelled by air conditioned sleeper and ordinary sleeper classes were in the ratio 3 : 25. If the total collection was Rs. 37,000, how much did air conditioner sleeper passengers pay ?
-
View Hint View Answer Discuss in Forum
Ratio of the railway fares of airconditioned and ordinary sleeper classes = 4 : 1
Ratio of the corresponding number of passengers = 3 : 25
Corresponding compound ratio = 4 × 3 : 1 × 25
= 12 : 25
Sum of the terms of ratio
= 12 + 25 = 37
∴ Total fare of the passengers of airconditioned sleeper classes= Rs. 
12 × 37000 
= Rs. 12000 37 Correct Option: C
Ratio of the railway fares of airconditioned and ordinary sleeper classes = 4 : 1
Ratio of the corresponding number of passengers = 3 : 25
Corresponding compound ratio = 4 × 3 : 1 × 25
= 12 : 25
Sum of the terms of ratio
= 12 + 25 = 37
∴ Total fare of the passengers of airconditioned sleeper classes= Rs. 12 × 37000 = Rs. 12000 37
- An office opens at 10 AM and closes at 5 PM. The lunch interval is for 30 minutes. The ratio of lunch
interval to the total period of office hours is
-
View Hint View Answer Discuss in Forum
Total working hours of office
= From 10 a.m. to 5 p.m.
= 7 hours
Lunch interval = 30 minutes
∴ Required ratio = 30 minutes : 7 hours
= 30 minutes : (7 × 60) minutes
= 1 : 14Correct Option: B
Total working hours of office
= From 10 a.m. to 5 p.m.
= 7 hours
Lunch interval = 30 minutes
∴ Required ratio = 30 minutes : 7 hours
= 30 minutes : (7 × 60) minutes
= 1 : 14
- In a cricket match there are three types of tickets say A, B and C each costing Rs. 1000, Rs. 500
and Rs. 200 respectively. The ratio of the tickets sold of categories A, B and C is 3 : 2 : 5. If the total collection from selling the tickets is Rs 2.5 crore, find the total number of tickets sold?
-
View Hint View Answer Discuss in Forum
Tickets of type A ⇒ 3x
Tickets of type B ⇒ 2x
Tickets of type C ⇒ 5x
According to the question,
(3x × 1000 + 2x × 500 + 5x × 200)
= 2.5 × 10000000
⇒ 30x + 10x + 10x = 250000
⇒ 50x = 250000
⇒ x = 5000
Total number of tickets sold = 10x
= 10 × 5000 = 50000Correct Option: C
Tickets of type A ⇒ 3x
Tickets of type B ⇒ 2x
Tickets of type C ⇒ 5x
According to the question,
(3x × 1000 + 2x × 500 + 5x × 200)
= 2.5 × 10000000
⇒ 30x + 10x + 10x = 250000
⇒ 50x = 250000
⇒ x = 5000
Total number of tickets sold = 10x
= 10 × 5000 = 50000
