Question

The cost of a painting (which is composed of paints
and canvas) was 3 times the value of the paints used.
The cost of paints increased in the ratio 3:7 and
canvas increased in the ratio 4:9. Find the present cost
of the article if its original cost was Rs 18.​

Answer 1

present cost  of the article Rs 41

Step-by-step explanation:

solution

Let cost of a painting = paints  + 2 canvas

original cost = Rs 18

so really paint = $\frac{18}{3}$ =  6

so canvas = 12

so here

Now new paints    = 6 × $\frac{7}{3}$   = 14  

and

new canvas  = 12 × $\frac{9}{4}$ = 27

so that

new cost price = 14 + 27

new cost price = 41

and

now we consider  original cost = 450

so paint cost will be = 150 and canvas will be =  300

when increase in paint cost

increased paint cost  =  150  × $\frac{7}{3}$  = 350

and

increased  in canvas =   300  × $\frac{9}{4}$  = 675

so

total Increased cost = 675 + 350 = 1025

so here when increase  450 to 1025

than increase by Rs 18 will be  = 18 × $\frac{450}{1025}$ = Rs 41

Learn more :

present cost  of the article

1. https://brainly.in/question/5452434

2. https://brainly.in/question/7978154

Answer 2

The current price of the product is Rs 41.

Step-by-step explanation:

solution

Let cost of a painting = paints  $+ 2$canvas

original cost $= Rs 18$

so really paint =$\frac{18}{3}$  =  6

so canvas $= 12$

so here

Now new paints  $=6\times \frac{7}{3} =14$

and

new canvas  = $12\times \frac{9}{4} =27$

so that

new cost price $= 14 + 27$

new cost price$= 41$

and

now we consider  original cost$= 450$

so paint cost will be = 150 and canvas will be $= 300$

when an increase in paint cost

increased paint cost  =  150 $\times \frac{7}{3}$  = 350

and

increased  in canvas = $300 \times \frac{9}{4} = 675$

so

total Increased cost $= 675 + 350 = 1025$

so here when increase  450 to 1025

than increase by Rs 18 will be  = 18 ×  = Rs 41

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