Question

Chhavi bought 60 articles at the rate of 80 each article. She sold three-fourth of them at the rate of75 each article and the rest at the rate of 100 each article. Find her gain or loss per cent.​

Answer 1

If Chhavi sold 3/4th of 60 articles at 75 each and rest at 100 each and she bought all the 60 at 80 each then her gain is 2%.

Step-by-step explanation:

Step 1:

Cost of each article = Rs. 80

∴ Cost of 60 articles = 60 * 80 = Rs. 4800

Step 2:

It is given that she sold 3/4th of 60 articles i.e., ¾ * 60 = 45 articles at Rs. 75 each and the rest i.e., 60 – 45 = 15 articles at Rs. 100 each.

So,  

S.P. of 45 articles = 45 * 75 = Rs. 3375

S.P. of 15 articles = 15 * 100 = Rs. 1500

∴ Total S.P. of 60 article = Rs. 3375 + Rs. 1500 = Rs. 4875

Step 3:

Since the S. P. of 60 articles is more than the C.P. of 60 articles so, Chhavi will make a profit.

Thus,

Her gain per cent is,

= $\frac{S.P. - C.P.}{C.P.} * 100$

= $\frac{4875-4800}{4800} * 100$

= $\frac{75}{4800} * 100$

= 1.56%

≈ 2 %

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