If 25 metres of cloth costs Rs 337.50, then
(i) What will be the cost of 40 metres of the same type of cloth?
(ii) What will be the length of the cloth bought for Rs 810?

Solution:

(i) If 25 metres cloth cost Rs. 337.50 then

One metre cloth will cost

Cost of One Metre Cloth = 337.50/25 = Rs. 13.50 metres

This is a direct variation,

Therefore the cost of 40 metres of same type of cloth will be :

Cost of 40 metres of cloth = 40 × 13.5 = Rs. 540

(ii) The length of the cloth that can be bought with Rs. 810 is:

Length of the cloth = 810/13.5 = 60 metres

✦ Try This: If 40 metres of cloth costs Rs 520, then

(i) What will be the cost of 50 metres of the same type of cloth?

(ii) What will be the length of the cloth bought for Rs 910?

(i) If 40 metres cloth cost Rs. 520 then

One metre cloth will cost

Cost of One Metre Cloth = 520/40 = Rs. 13 metres

Therefore the cost of 50 metres of same type of cloth will be :

Cost of 40 metres of cloth = 50 × 13 = Rs. 650

(ii) The length of the cloth that can be bought with Rs. 910 is:

Length of the cloth = 910/13 = 70 metres

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 13

NCERT Exemplar Class 8 Maths Chapter 10 Problem 79

If 25 metres of cloth costs Rs 337.50, then (i) What will be the cost of 40 metres of the same type of cloth? (ii) What will be the length of the cloth bought for Rs 810

Summary:

If 25 metres of cloth costs Rs 337.50, then (i) The cost of 40 metres of the same type of cloth will be Rs. 540 (ii) The length of the cloth bought for Rs 810 is 60 metres

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