Question

a shopkeeper bought rice for 45000. due to leakage in the godown 1/9 of the total rice was spoiled . he sold the good at a gain of 15% and the spoiled rice at a loss of 30% . find his total gain or loss per cent

Answer 1

Step-by-step explanation:

Cp of rice = Rs. 45000

$Cp \: \: of \frac{1}{9} \: of \: rice = \frac{1}{9} :45000$

=5000

$Sp \: \: of spoiled \: \: rice = \frac{70}{100} \times 5000</h3><h3>$

=3500

Now, 45000-3500 = 41500

$sp \: of \: spoiled \: rice = \frac{115}{100} \times 41500$

=Rs. 47725

Total Cp = Rs. 45000

Total Sp = Rs. ( 47725+3500) =

= Rs. 51225

Gain = Sp - Cp =

51225 - 45000

=6225

Gain %=10%

Answer 2

Answer:

10%

Step-by-step explanation:

Let the quantity of rice bought by the shopkeeper be $x$

∴ CP of $x$ kg = $Rs.$ $45000$

Quantity of spoiled rice

$=$ $\frac{1}{9}$ × $x$ $=$ $\frac{x}{9}$

CP of spoiled rice

$=$ $\frac{45000}{9}$ $=$ $Rs.$ $5000$

Quantity of good rice

$=$ $(x - \frac{x}{9} )$ $kg$

$=$ $\frac{8x}{9}$ $kg$

CP of good rice

$=$ $\frac{8x}{9}$ × $45000$

$=$ $Rs. 40000$

SP of spoiled rice

$=$ $70$$%$% of $5000$ [∵ $Loss = 30$%]

$=$ $\frac{70}{100}$ × $5000$

$=$ $Rs.$ $3500$

SP of good rice

$=$ $115$% of $40000$ [∵ $Gain = 15$%]

$=$ $Rs.$ $\frac{115}{100}$ × $40000$

$=$ $Rs.$ $46000$

Total SP = $Rs.$ $(3500$ $+$ $46000)$

              = $Rs.$ $49500$

SP > CP

∴ There is a gain

Gain = SP -  CP

$=$ $49500-45000$

$=$ $Rs.$ $4500$

Gain % = $\frac{Gain}{CP}$ × $100$

$=$ $\frac{4500}{45000}$ × $100$

$=$ $10$%

Hence, the gain percent is 10%