Question

if silk costs six times as much as linen, and I spend Rs. 118 in buying 23 metres of silk and 50 metres of linen: find the cost of each per metre

Answer 1

Answer:

Step-by-step explanation:

Let the cost of linen =Rs x/m

then cost of silk=6x /m

then cost of 23 m of silk and 50 m of linen

=23*6x+50x=118

138x+50x=118

188x=118

x=118/188=0.62 Rs/m

thus cost linen =Rs 0.62/m

and cost of silk=0.62*6=Rs 3.72 /m

Answer 2

Answer:

Cost of Linen = Rs.6 (per m)

Cost of Silk = Rs.36 (per m)

Step-by-step explanation:

I believe your Question is,

"If Silk costs six times as much as Linen, and I spend Rs. 1128 in buying 23 metres of silk and 50 metres of linen: Find the cost of each per metre."

We have,

Cost of Silk = 6 × Cost of Linen (per m)

Let the cost of Linen be Rs.'x'. (per m)

Then,

Cost of Silk = Rs.6x (per m)

Now,

Cost of buying = Length × Cost of the Cloth

Here,

I bought 50m of Linen,

So,

Cost = 50 × x

= Rs.50x

Similarly,

Cost of Silk = 23 × 6x

= Rs.138x

But I spend a total of Rs.1128

Then,

Cost of Silk + Cost of Linen = 1128

Thus,

138x + 50x = 1128

188x = 1128

x = 1128/188

x = 564/94

x = 282/47

x = 6

Thus,

Cost of Linen = Rs.6 (per m)

Cost of Silk = Rs.6 × 6 = Rs.36 (per m)

Hence,

Cost of Linen = Rs.6 (per m)

Cost of Silk = Rs.36 (per m)

Hope it helped and believing you understood it...All the best