Question

A milkman sold his buffalo for ₹22000. He made a profit of 10%. Find the C.P of buffalo​

Answer 1

Given :-

• Selling Price (S.P) = Rs 22000
• Profit% = 10%

To Find :-

• Cost Price (C.P) of Buffalo

Formula :-

• C.P = S.P × 100 / 100 + Profit%

Solution :-

➞ C.P = S.P × 100 / 100 + Profit%

➞ C.P = 22000 × 100 / 100 + 10

➞ C.P = 2,200,000 / 110

➞ C.P = 220000 / 11

➞ C.P = Rs 20000

Thus Cost Price of Buffalo is Rs 20000

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$\small\boxed{ \begin{array}{cc}\large\sf\dag \: {\underline{More \: Formulae}} \\ \\ \bigstar \: \sf{Gain = S.P – C.P} \\ \\ \bigstar \:\sf{Loss = C.P – S.P} \\ \\ \bigstar \: \sf{Gain \: \% = \Bigg( \dfrac{Gain}{C.P} \times 100 \Bigg)\%} \\ \\ \bigstar \: \sf{loss \: \% = \Bigg( \dfrac{loss}{C.P} \times 100 \Bigg)\%} \\ \\ \bigstar \: \sf{S.P = \dfrac{100+Gain\%}{100} \times C.P} \\ \\ \bigstar \: \sf{ C.P =\dfrac{100}{100+Gain\%} \times S.P} \\ \\\bigstar \: \sf{ S.P = \dfrac{100-loss\%}{100} \times C.P} \\ \\ \bigstar \: \sf{ C.P =\dfrac{100}{100-loss\%} \times S.P}\end{array} }$

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Answer 2

Solution!!

The concept of profit and loss has been used here. The selling price (SP) and the profit in percentage is given. We need to find the cost price (CP).

Profit% = 10%

Selling price (SP) = Rs 22000

→ Profit% = (Profit/CP) × 100

→ Profit = SP - CP

Profit% = ((SP - CP)/CP) × 100

10 = ((22000 - CP)/CP) × 100

10 ÷ 100 = (22000 - CP)/CP

0.1 = (22000 - CP)/CP

0.1 CP = 22000 - CP

0.1 CP + CP = 22000

1.1 CP = 22000

CP = 22000 ÷ 1.1

CP = Rs 20000

The cost price (CP) is Rs 20000.

More to know:-

→ If SP>CP, then it is profit.

→ If CP>SP, then it is loss.

→ Profit = SP - CP

→ Loss = CP - SP

→ Profit% = (Profit/CP) × 100

→ Loss% = (Loss/CP) × 100