Question
Four friends are jogging on a circular track starting
from the same point. Their strides are 48 cm, 54 cm, and 72 cm respectively. What is the least distance each of them should cover so that all three land on the starting point together again?Solution
ATQ, Desired minimum distance = LCM of 48, 54 and 72 48 = 2 × 2 × 2 × 2 × 3 54 = 2 × 3 × 3 × 3 72 = 2 × 2 × 2 × 3 × 3 LCM = 2⁴ × 3³ = 16 × 27 = 432 cm
A shopkeeper sold an article at a discount of 13%. If he had given a discount of 7% in place of 13%, then he would have earned Rs. 108 more. If the cost...
Burger King applies a fixed charge and an additional fee for each burger ordered. 'Arun' and 'Vicky' placed orders for 180 and 120 burgers, respectively...
The cost price of a television is Rs. 8,000. The television is marked 40% above its cost price and sold after a discount of Rs. 1,200. If the cost price...
An article is marked x% (0 < x < 40) above its cost price. It is sold by giving x/2% discount on its marked price. If there is a profit of 10(1/2)%, the...
A businessman sold 2/5 of his stock at a gain of 25% and the remaining at a gain of 20%. The overall percentage of gain is
...A spent 26% of his monthly income on study and 55% of the remaining on rent. If amount spent on rent is Rs. 2035, then find the amount spent on study
Amir sells his bike to Nitin at a profit of 30% who sells it to Rohan at a loss of 10%. Rohan, after finding some scratches in the bike, returns it to N...
Selling price of article ‘A’ when sold at a profit of 45% is Rs. 150 more than its selling price when sold at a loss of 35%. If the cost price of ar...
Profit percentage received on a product when sold for Rs. 500 is equal to the percentage loss incurred when the same product is sold for Rs. 300. Find t...
A fruit seller buys oranges at the rate of 12 for ₹60 and sells them at the rate of 8 for ₹48. Find his percentage profit.
