Question

The cost of 5kg wheat is 127.50 rs
1) find the cost of 8kg wheat
2) how much quantity of wheat can bought for 765 rs

Answer 1

The cost of 5kg wheat is 127.50 rs

1) find the cost of 8kg wheat

2) how much quantity of wheat can bought for 765 rs

answers

1) find the cost of 8 kg wheat

1kg =25.5

25.5×8

=> 204 RS for 8 kg

2)how much quantity of wheat can bought for 765 rs

=>30 kg wheat

Answer 2

$\textbf{\underline{\underline{Answer :-}}}$

1) Cost of 8 kg wheat is Rs.204

2) 30 kg can be brought in Rs.765

$\textbf{\underline{\underline{Explanation :-}}}$

Given :

5 kg for = Rs.127.50

To find :

1) cost of 8kg wheat

2) quantity of wheat can be bought for Rs. 765

Solution :

Answer 1)

By Proportion :-

Consider the cost of 8 kg as x

5 : 127.5 : : 8 : x

$\boxed{\sf{Mean \times Mean \: terms = Extreme \times Extreme \: terms}}$

$\sf{\implies}127.5 \times 8 = 5 \times x$

$\sf{\implies}1020 = 5x$

$\sf{\implies}x = \dfrac{1020}{5}$

$\sf{\implies}x = 204$

$\boxed{\sf{\red{8kg \: is \: for \: Rs.204}}}$

$\therefore$ Cost of 8 kg wheat is Rs.204

Answer 2)

By Proportion :-

Consider the wheat brought in Rs.765 as x

5 : 127.5 : : x : 765

$\boxed{\sf{Mean \times Mean \: terms = Extreme \times Extreme \: terms}}$

$\sf{\implies}127.5 \times x = 765 \times 5$

$\sf{\implies}127.5x = 3825$

$\sf{\implies}x = \dfrac{3825}{127.5}$

$\sf{\implies}x = 30$

$\boxed{\sf{\red{30kg \: can \: be \: brought \: in \: Rs.765}}}$

$\therefore$ 30 kg can be brought in Rs.765