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A man sold an article for Rs. 221, there by gaining 10.5%. The cost of the article (in Rs.) was:
Question

A man sold an article for Rs. 221, there by gaining 10.5%. The cost of the article (in Rs.) was:

A.

247

B.

244

C.

200

D.

198

Correct option is C

Given:
Selling price (SP) = Rs. 221
Gain % = 10.5%
Formula Used:
SP=CP×100+Gain%100SP = CP \times \frac{100 + \text{Gain\%}}{100}​​
Solution:
CP=221×100110.5 =221×100110.5  =2211.105 =200 CP = \frac{221 \times 100}{110.5} \\\ \\= \frac{221 \times 100}{110.5}\\\ \\\\\ \\= \frac{221}{1.105}\\\ \\= 200\\\ \\​​
So, cost price = Rs. 200.
Alternate Solution:
SP : CP = 100 + 10.5 : 100 = 110.5 : 100 = 221 : 200, so CP = 200.

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