Question

7. A merchant sold 70 kg of pulses at the rate of Rs 45 per kg and gained a profit of 15%. What was the
total cost price of 70 kg of pulses?​

Answer 1

Given : A merchant sold 70 kg of pulses at the rate of Rs 45 per kg and gained a profit of 15%.

To Find : What was the total cost price of 70 kg of pulses

Solution:

let say cost price per kg  = C rs

Profit = 15 %

profit = (15/100)C = 0.15C

SP = CP + Profit

=> SP per kg  = C  + 0.15C  = 1.15C  Rs

1.15C = 45

=> C = 45/1.15

=>  C = 4500/115

total cost price of 70 kg of pulses  = 70 C

= 70 * 4500/115

=  2,739.13

total cost price of 70 kg of pulses  = 2,739.13   Rs

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Answer 2

$\huge \: \: \: ☠︎ \: \cal \colorbox{pink}{ANSWER} \: ☠︎$

$\color{green} \sf \: QUESTION \rightarrow \color{black}$

A merchant sold 70 kg of pulses at the rate of Rs 45 per kg and gained a profit of 15%. What was the total cost price of 70 kg of pulses?

$\color{seagreen} \sf \: ANSWER \rightarrow$

$\sf \: Let \: the \: cost \: price \: of \: pulses \: per \: kg \: be \bf \: x.$

$\sf \: Profit = 15 \%.$

$\sf \: Profit = ( \frac{15}{100} ) \bf \: x$

$\sf \: SP = CP - Profit$

$\sf \: SP \: per \: kg = \bf{x} + \sf 0.15 \: \bf{x}$

$\sf \: 1.15 \: \bf{x} + \sf {45}$

$\bf{x} \sf {= \frac{45}{1.15} }$

$\bf{x} = \sf{ \frac{4500}{115} }$

$\sf \: CP \: of \: 70 \: kg \: pulses \: = \: 70 \bf{x}$

$\sf \: CP = \frac{70 \times 4500}{115}$

$\bf \: CP = 2739.13$