Question
A trader buys an item for Rs.1250. He marks it up by x%,
then gives a discount of (x – 6)%. In the end he makes a profit of Rs.21. Find the marked price.Solution
ATQ, 1250 * (100 + x)/100 * (100 – (x – 6))/100 = 1250 + 21 1250 * (100 + x)/100 * (106 – x)/100 = 1271 (100 + x) * (106 – x) = 10168 10600 – 100x + 106x – x2 = 10168 x2 – 6x – 432 = 0 x2 – 24x + 18x – 432 = 0 x(x – 24) + 18(x – 24) = 0 (x – 24)(x + 18) = 0 x = +24, –18 x = 24 Marked price = 1250 * 124/100 = Rs.1550
If a coin is tossed 10 times then what is the probability of getting three heads?
Tom and Jerry throw alternatively a pair of dice. Tom wins if he throws 8 before Jerry throws 7 and Jerry wins if he throws 7 before Tom throws 8. Find...
A bag contains 10 white balls, 5 black balls and 5 red balls. Two balls are drawn at random. What is the probability that at least one of them is red?
- Find the probability of selecting a card that is not a face card from a well shuffled deck.
A box consists of 125 apples out of which 25 are rotten. Khushboo comes to buy non-rotten apple. The shopkeeper takes out two apples and hands it over t...
Find the probability of selecting a numbered red card (from 2 to 10) from a well shuffled deck.
- Find the probability of selecting a heart or a diamond card from a well shuffled deck.
A bag contains 12 blue balls, 18 red balls, and 20 green balls. One ball is drawn at random. Find the probability that the ball drawn is either blue or ...
The names of 6 students from section A, 8 students from section B and 10 students from section C were selected. The age of all the 24 students was diffe...
- A piggy bank contains six 50 paise coins, nine Rs. 1 coin, and twelve Rs. 2 coins. One of the coins from the piggy bank fell and got lost. Find the probabi...
