Categories

# [Smart Math] Percentages Problem 20

Here’s and example of a SMART MATH problem for PERCENTAGES.

### Problem

A bicycle is sold at a profit of 10%. Had it been sold for $10 less, the profit would have been 5% only. What is the cost price of the bicycle? 1.$180
2. $200 3.$220
4. $240 5.$250

### The Usual Method

[contentblock id=google-adsense-post]

Let the cost price of the bicycle be $‘x’. Hence selling price with 10% profit = 1.1x. But had it been sold for$10 less, profit = 5% only.

Hence, 1.1x – 10 = 1.05x

$\therefore 0.05x=10$ $\therefore x=\frac{10}{0.05}=$ $200 (Ans: 2) Estimated Time to arrive at the answer = 30 seconds. ### Using Technique [contentblock id=google-adsense-post] By reducing$10 from selling price the profit reduces by 5%, hence $10 is equivalent to 5%, so 100% will be equivalent to$200.

(Ans: 2)

Estimated Time to arrive at the answer = 5 seconds.
[starrater tpl=10]

[contentblock id=smartmath-blockquote]