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By selling a watch for a certain amount. Deepika suffered a loss of 10%. By selling the same watch for 140 more, she would have gained 4%. What was th
Question

By selling a watch for a certain amount. Deepika suffered a loss of 10%. By selling the same watch for 140 more, she would have gained 4%. What was the cost price of the watch?


A.

1140

B.

1000

C.

860

D.

760

Correct option is B

Given:

Loss = 10%

By selling the same watch  Rs. 140 moreGain is 4%.

Solution:

Let the cost price be Rs. 100

Case1

selling price when loss is 10%

SP = Rs. 100 – 10%

         Rs. 100 – 10

         = Rs. 90

Case 2

selling price when gain is 4%

 Rs. 100 + 4 = Rs. 104

According to question case 2 - case1 

Difference = Rs. (104 – 90) = Rs. 14

If the difference is Rs. 14, the cost price = Rs. 100

If the difference is Rs. 140, the cost price = Rs. 100/14 × 140

=> Rs. 1000

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