Question

By selling an article for Rs 600 a man loses 20%. At what price should he sell it in order to gain 25%?

Please solve this question.​

Answer 1

Answer:

₹ 937.50

Step-by-step explanation:

Let the cost price be x.

A.T.Q.

80% of x = 600

x = 600 × 100 / 80

x = ₹ 750

New price = 125% of x

= 125 / 100 × 750

= ₹ 937.5

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Answer 2

Step-by-step explanation:

Given:-

By selling an article for Rs 600 a man loses 20%.

To Find

Price he should sell it in order to gain 25%

Solution:-

SP = Rs.600

Loss% = 20%

$\rm \:CP = \bigg \{ \frac{100 \times SP}{(100 - loss\%)} \bigg \} \\ \rightharpoonup \rm \: \frac{100 \times 600}{100 - 20} \\ \rightharpoonup \rm \: \cancel\frac{100 \times 600}{80} \\ \rightharpoonup \rm \: 750$

So, CP = Rs. 750

CP = Rs. 750

Required Gain% = 25%

Gain = 25/100 × 750 = Rs. 187.5

Req SP = CP + Gain

→ 750 + 187.5

→ Rs. 937.50

M O R E TO KNOW

Gain = Gain% of CP (Put loss where we put gain, if it is loss)

Gain% = Gain/CP × 100% (Put loss where we put gain, if it is loss)

SP = {(100 + gain%) + CP}}\100