Selina solutions

Selina solutions

Grade 6

Proportion (Including Word Problems) | Exercise 12(C)

Question 10

Q10) The length of two ropes are in the ratio 7 : 5. Find the length of:

(i) shorter rope, if the longer one is 22.5 m

(ii) longer rope, if the shorter is 9.8 m.

Solution:

Length of the ropes are in the ratio = 7 : 5

(i) Let the length of shorter rope = x

Length of longer rope = 22.5 m

According to the question

7 : 5 = 22.5 : x

\Rightarrow\ 7x=22.\times5

\Rightarrow\ x=\frac{22.5\times5}{7}

\Rightarrow\ x=16.07m

(ii) Let length of the longer side = x

Length of shorter rope = 9.8 m

According to the question

7 : 5 = x : 9.8

\Rightarrow5\times x=9.8\times7

\Rightarrow\ x=\frac{9.8\times7}{5}

\Rightarrow\ x=13.72m

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subject-cta

Question 10

Q10) The length of two ropes are in the ratio 7 : 5. Find the length of:

(i) shorter rope, if the longer one is 22.5 m

(ii) longer rope, if the shorter is 9.8 m.

Solution:

Length of the ropes are in the ratio = 7 : 5

(i) Let the length of shorter rope = x

Length of longer rope = 22.5 m

According to the question

7 : 5 = 22.5 : x

\Rightarrow\ 7x=22.\times5

\Rightarrow\ x=\frac{22.5\times5}{7}

\Rightarrow\ x=16.07m

(ii) Let length of the longer side = x

Length of shorter rope = 9.8 m

According to the question

7 : 5 = x : 9.8

\Rightarrow5\times x=9.8\times7

\Rightarrow\ x=\frac{9.8\times7}{5}

\Rightarrow\ x=13.72m

Still have questions? Our expert teachers can help you out

Book a free class now

Want to top your mathematics exam ?

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subject-cta
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