some toffees are bought at the rate of 11 for ₹ 10 and the same number at the rate of x for rupees 10 if the whole lot is sold at one rupee per toffee for no gain or loss find x.
Answers
Step-by-step explanation:
Let the total number of toffees be ‘x’
Given, cost price of 11 toffees is = Rs 10 Cost price of 1 toffee is = Rs 10/11
Given, cost price of 9 toffees is = Rs 10 Cost price of 1 toffee is = Rs 10/9
When equating both the costs we get, Cost price of two toffees = (10/11) + (10/9) = (90 + 110)/99 = 200/99 Cost price of one toffee is = (Rs 200/99)/2 = Rs 200/198
We know that selling price of 1 toffee (Given) = Rs 1 Loss = CP – SP = 200/198 – 1 = (200-198)/198 = 2/198 Loss% = (loss/cost price) × 100 = (2/198)/(200/198) × 100 = 2/198 × 198/200 × 100 = 2/200 × 100 = 2/2 = 1%
∴ It is 1% loss on the Whole Read more on Sarthaks.com - https://www.sarthaks.com/668645/some-toffees-are-bought-at-the-rate-of-11-for-rs-10-and-the-same-number-at-the-rate-of-9-for-rs-10