Question

a grocer sold 5 kg of wheat flour at rs 55 per kg and gained 10 % .if he had sold it at rs 52 per kg ,what would be his gain or loss percent?​

Answer 1

Given :

• S.P = Rs 55 / kg
• Amount sold = 5 kg
• Gain % = 10%

To find :

• Gain / loss % at SP = Rs 52 / kg

Solution:

SP of 5 kg = SP of 1 kg × 5

= 55 × 5

= Rs 275

$\boxed{\tt CP = \dfrac{100 \times SP}{100 + Gain \%}}$

$= \tt \dfrac{100 \times 275}{100 + 10} \\ \\ = \tt \frac{27500}{110} \\ \\ = \tt \: 250$

Hence the Cost price of 5 kg wheat flour is 250 Rs .

New SP = 52 / Kg .

SP of 5 kg flour = 52 × 5

= Rs 260

SP > CP , therefore it is gain

Gain = SP - CP

= 260 -250

= 10

$\boxed{\tt Gain \% = \dfrac{Gain \times 100}{CP}}$

$= \tt \dfrac{10 \times 100}{250} \\ \\ = \tt \frac{1000}{250} \\ \\ = \tt 4 \%$

Hence the seller would have gained 4% profit if he would have sold 5 kg flour at rate of Rs 52/kg .