Q1. Pankaj purchased 3575 balls and 2002 bats and cost price of one bat is equal to cost price of one ball. He sold ball in such a way that he can buy 850 balls by selling 799 balls and can buy 777 bats by selling 987 bats. Find approximate overall loss/profit percent earned by Pankaj by selling all balls and bats.
Q2. Sanjay buys some articles for Rs. 1,80,000. He sells 2/5th of it at a loss of 12%. If he wants to earn overall profit of 18% on selling all the articles, then at what profit % he should sell the remaining articles?
Q3. On selling 40 articles for Rs. 68 a shopkeeper incurred a loss of 25%. How many articles he should sell for Rs. 51 to earn profit of 12.5%?
Q4. Amit bought total of 44 laptops and mobiles together. Laptop costs two times of mobiles. He marked up the laptop by 50 % and phones by Rs. 3000 and sold these. He sold 80 % of mobiles and 6 laptops at Rs. 636000. The remaining mobiles and remaining 3 laptops are unsold due to some faults. Find his overall profit/loss on total quantity?
(a) Rs 600
(b) None of these
(c) Rs 750
(d) Rs 350
(e) Rs 425
Q5. A shopkeeper sells a car for Rs.52510 and incurs a loss of 11%. He sells another car at 5% profit. If on selling both the cars he neither earns profit nor incurs loss, then find the cost price of second car.
Q6. If side of a square is equal to height of equilateral triangle, then find ratio of area of equilateral triangle to area of square?
(a) √2 :5
(b) 3 :5
(c) √3 :2
(d) 1 : √3
(e) Data insufficient.
Q7. A large sphere of radius ‘R’ cm was converted into 64 small spheres of radius ‘r’ cm and then one small sphere is converted into 16 smaller cones of radius of ‘a’ cm. If height of cone is two times of its radius, then find R:a:r.
Q8. There are 4 Red, 2 Green & 2 Blue ball in a bag. If one ball drawn at random from the bag, then find the probability of the ball drawn out is not blue?
Q9. In a bag, there are some red and total 9 black and yellow balls. Probability of selecting two red balls from that bag is 1/7 which is 250% of the probability of selecting two black balls. Find number of yellow balls in that bag if the number of black balls is even.
(e) None of these
Q10. Find the probability of 7 letters word that can be formed from the letters of the word ‘CASTING’ so that vowels always come together.