Advertisements
Advertisements
Question
Divide Rs. 1290 in to A, B and C such that A is `2/5` of B and B : C = 4 : 3.
Solution
Given B : C = 4 : 3
`=> B/C = 4/3`
And `A = 2/5 B`
`=> A/B = 2/5`
Now `A/B = 2/5 = (2 xx 4)/(5 xx 4) = 8/20`
And `B/C = (4 xx 5)/(3 xx 5) = 20/15`
`=>` A : B : C = 8 : 20 : 15
`=>` A = 8x, B = 20x and C = 15x
∴ 8x + 20x + 15x = 1290
`=>` 43x = 1290
`=>` x = 30
A's share = 8x
= 8 × 30
= Rs. 240
B's share = 20x
= 20 × 30
= Rs. 600
C's share = 15x
= 15 × 30
= Rs. 450
RELATED QUESTIONS
Find the sub-triplicate ratio of the following :
`(64 "m"^3)/(729 "n"^3) : (216 "m"^3)/(27"n"^3)`
The ratio of the pocket money saved by a boy and his sister is 5:4. If the brother saves Rs 100 more, how much more should the sister save in order to keep the ratio of their savings unchanged ?
A field is 80 m long and 60 m wide. Find the ratio of its width to its length.
State true or false :
A ratio equivalent to 7 : 9 is 27 : 21.
Two numbers are in the ratio 10: 11. Their sum is 168. Find the numbers.
Find the mean proportional between 0.9 and 2.5
If (x – 9) : (3x + 6) is the duplicate ratio of 4 : 9, find the value of x.
If the angles of a triangle are in the ratio 2 : 3 : 4, find the angles.
Find the ratio of:
35 minutes to an hour
27 cm2 : 57 cm2 = 18 cm : 38 cm
