Question

Q.1 ] Cost of groundnuts is directly proportional to its weight. If the cost of 5 kg groundnuts is Rs. 450 then find the cost of 1 quintal groundnuts. (Hint : 1 quintal = 100kg).

Q.2] y varies directly as a sqaure rooting of x. When x=16 , y = 24. 
Find the constant variation and Equation of variation.

Q.3 ] The total remuneration paid to labourers, employed to harvest soybean is in direct variation with the number of labourers. If remuneration of 4 labourers is Rs. 1000, find the remuneration of 17 labourers.

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Answer 1

[ Note - refer to the attachments ]

Answer 2

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Question 1 : Cost of groundnuts is directly proportional to its weight. If the cost of 5 kg groundnuts is Rs. 450 then find the cost of 1 quintal groundnuts. (Hint : 1 quintal = 100kg).

Answer:

1 quintal = 100 kg

5 kg of groundnuts =

$\frac{450}{50}$

$\ = 90rs.$

Now, one quintal of groundnuts = 100× 90 = rs.9000.

Question: 2 y varies directly as a sqaure rooting of x. When x=16 , y = 24. 

Find the constant variation and Equation of variation.

Answer:

For question no. 2 plz refer to the attachment !

Question: The total remuneration paid to labourers, employed to harvest soybean is in direct variation with the number of labourers. If remuneration of 4 labourers is Rs. 1000, find the remuneration of 17 labourers.

Answer:

Given that,

Total remuniration (R) paid to labourers is directly variation with the number (N) of labourers.

$r1 = rs \: 1000$

$n1 = 4$

$r2 = ?$

$n2 = 17$

$\frac{r2}{n2} = \frac{r1}{n1}$

$\frac{r2}{17} = \frac{1000}{4}$

$r2 = (1000 \times 17)\ \: 4$

$r2 = 250 \times 17$

$r2 = 4250$

Total remuneration of 17 labourers = R2

= 4250

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