CBSE Class 7 Answered
A bicycle was sold at 12% profit.Had it been sold for ?16 more ,the profit would have been 20%.Find the selling price of the bicycle.
Asked by chavanchetana11 | 23 Feb, 2019, 14:23: PM
Let the CP be x
Hence, SP =![begin mathsize 16px style straight x plus fraction numerator 12 straight x over denominator 100 end fraction equals fraction numerator 112 straight x over denominator 100 end fraction end style](https://images.topperlearning.com/topper/tinymce/cache/c6ad793fe46a2cb64805cc8968e4ce03.png)
SP =![begin mathsize 16px style straight x plus fraction numerator 20 straight x over denominator 100 end fraction equals fraction numerator 120 straight x over denominator 100 end fraction end style](https://images.topperlearning.com/topper/tinymce/cache/dbac6c60c2ebcea6257aabdc298f9377.png)
Hence, SP =
![begin mathsize 16px style straight x plus fraction numerator 12 straight x over denominator 100 end fraction equals fraction numerator 112 straight x over denominator 100 end fraction end style](https://images.topperlearning.com/topper/tinymce/cache/c6ad793fe46a2cb64805cc8968e4ce03.png)
SP =
![begin mathsize 16px style straight x plus fraction numerator 20 straight x over denominator 100 end fraction equals fraction numerator 120 straight x over denominator 100 end fraction end style](https://images.topperlearning.com/topper/tinymce/cache/dbac6c60c2ebcea6257aabdc298f9377.png)
According to the question,
![begin mathsize 16px style fraction numerator 120 straight x over denominator 100 end fraction minus fraction numerator 112 straight x over denominator 100 end fraction equals 16 end style](https://images.topperlearning.com/topper/tinymce/cache/3d2c12524b02c1e76aa8f8f439ff339d.png)
Simplifying we get,
x = Rs. 200
CP is Rs. 200, then
SP = 200 +
= Rs. 224
200 +
= Rs 232
![begin mathsize 16px style 200 cross times 12 over 100 end style](https://images.topperlearning.com/topper/tinymce/cache/c4aa0d49a31d8d560be23869d03b4aac.png)
200 +
![begin mathsize 16px style 200 cross times 16 over 100 end style](https://images.topperlearning.com/topper/tinymce/cache/b3a4f153664bdfc0169e80fd02250e55.png)
Answered by Sneha shidid | 23 Feb, 2019, 20:05: PM
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