Q1. Akash and Bharat start a partnership with the capital of Rs. 25000 and Rs. 35000 and decide to share their profit according to their capital But Chitra joined the business on a condition that they will distribute the profit equally and for that Chitra gives Rs. 2,20,000 to Akash and Bharat, then find in which ratio Akash and Bharat will divide that amount.
Let total profit = 12x
Profit of Akash = 5x
Profit of Bharat = 7x
When Chitra enters into partnership the profit of each investor = 12x/3 = 4x
Loss of Akash = x
Loss of Bharat = 3x
Amount will be divided in the ratio of their loss Required ratio = 1 : 3
Q2. A publisher publishes 2000 copies of a book at the cost of Rs. 2400. He distributed 500 copies for free of cost. He gave 25% discount on the marked price and offered 1 free book at the sale of 24 books. In this way he sold the entire books. If the marked price of 1 book is Rs. 3.25. Find its percentage profit or loss.
Q3. Two trains start from Dehradun and Jodhpur towards Jodhpur and Dehradun respectively. After passing each other the faster train take 5 hrs 20 min and the slower train takesmore time than faster train to reach Dehradun and Jodhpur respectively. If their relative speed in same direction is 15 km/hr then find speed of faster train:
Q4. A shopkeeper received a pack of 15 pens, out of which 4 were defective. The shopkeeper decided to examine every pen one by one selecting a pen at random. The pen examined are not put back what is the probability that the 9th one that had been examined is the last defective pen ?
Q5. Ram borrows a sum of Rs. 63000 from Seeta at 14% rate of simple interest for three years. He added sum more money to the borrowed sum and lent it to Geeta at 16% per annum for 3 years if he earns Rs. 6180 in whole process then find how much he added.
Directions (6-10): Read the following table carefully and answer the following questions given below it:
No. of boy participants in various groups are given. Ratio of boy to girl is also given —
Q6. Total number of participants in group R and S together are approximately what percent more/less than the total number of participants in group P and Q together ?
Q7. 50% of the girls from group Q and 25% of the girls from group T qualify for an International match out of which only 50% girls qualify in the last round of the International match then find how much girls qualify for the last round of the International match from these two groups?
Q8. Find the ratio between the average number of girls from group P, Q and R and total number of participants from group T and U together ?
Q9. Average number of boys from all of the groups are how much less/more than the average number of girls from all of groups? (calculate up to two decimal points)
Q10. Number of girls from group Q is what percent of the total number of boys from group R, S and T together ? (calculate up to two decimal points)
Directions (11-15): What should come in place of the question mark (?) in following number series problems?
Q11. 17, 22, 52, 165, ?
Q12. 12, 12, 18, 36, 90, 270, ?
∴ ?=270×3.5=945
Q13. 1015, 508, 255, 129, 66.5, ?, 20.875
∴ ?=66.5÷2+2.5=35.75
Q14. 8, 9, 20, 63, 256, 1285, ?
Q15. 7, 20, 46, 98, 202, ?