Question

10kg of rice was bought at the rate of ₹10/kg. and 15 kg. rice was bought at the rate of ₹ 12/kg. Find the loss percentage, if the rice is sold for ₹ 16/kg​

Answer 1

Answer:

He brought 10kg of rice for 10/kg,so total amount =10*10=100

Now, he brought 10kg of rice for 12/kg,so total amount =12*10=120

He mixed two 10kg rices at different rates and sold for 11/kg,

10+10=20kg

20*11=220

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Answer 2

$\underline{ \underline{ \Large \bf { Clarification:} } }$

Here, we are given that at first transaction 10kg of rice was bought at the rate of ₹10/kg. and 15 kg. rice was bought at the rate of ₹ 12/kg. So, at first we'll calculate the total CP at whole transaction. Then, we are given that rice is sold for ₹ 16/kg. So, we'll calculate SP of the total amount of rice sold.After that we'll find loss by using the formula and and loss % by using the formula of it respectively.

$\underline{ \underline{ \Large \bf { Given:} } }$

• 10 kg of rice was bought at the rate of ₹10 per kg.

• 15 kg of rice was bought at the rate of ₹ 12 per kg.

• Rice is sold for ₹ 16 per kg.

$\underline{ \underline{ \Large \bf { To \; calculate:} } }$

• Loss %

$\underline{ \underline{ \Large \bf { Calculation:} } }$

$\dag$ Calculating total CP :

First Case :

→ CP of 1 kg of rice = ₹ 10

→ CP of 10 kg of rice = ₹ (10×10)

→ CP of 10 kg of rice = ₹ 100

Second Case :

→ CP of 1 kg of rice = ₹ 12

→ CP of 15 kg of rice = ₹ (15×12)

→ CP of 15 kg of rice = ₹ 180

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Therefore,

→ CP of total ( 10 + 15 ) kg of rice = ₹ ( 100 + 180 )

→ CP of total ( 10 + 15 ) kg of rice = ₹ 180

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$\dag$ Calculating total SP :

→ Total amount of rice = ( 10 + 15 ) kg

→ Total amount of rice = 25 kg

→ SP of total 1 kg rice = ₹ 16

→ SP of 25 kg of rice = ₹ (25×16)

→ SP of 25 kg of rice = ₹ 400

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$\dag$ Calculating loss :

→ Loss = SP - CP

→ Loss = ₹ ( 400 - 280 )

→ Loss = ₹ 120

So, there is loss of ₹ 120.

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$\dag$ Calculating loss % :

→ Loss % = $\sf { \Bigg \lgroup \dfrac{Loss}{CP} \times 100 \Bigg \rgroup \%}$

→ Loss % = $\sf { \Bigg \lgroup \dfrac{120}{280} \times 100 \Bigg \rgroup \%}$

→ Loss % = $\sf { \Bigg \lgroup \dfrac{12}{28} \times 100 \Bigg \rgroup \%}$

→ Loss % = $\sf { \Bigg \lgroup \dfrac{6}{14} \times 100 \Bigg \rgroup \%}$

→ Loss % = $\sf { \Bigg \lgroup \dfrac{3}{7} \times 100 \Bigg \rgroup \%}$

→ Loss % = $\sf { \Bigg \lgroup \dfrac{300}{7} \Bigg \rgroup \%}$

→ Loss % = $\sf { \Bigg \lgroup 42\dfrac{6}{7} \Bigg \rgroup \%}$

Henceforth, loss % is $\sf { \Bigg \lgroup 42\dfrac{6}{7} \Bigg \rgroup \%}$