Q) In the given figure, a circle centered at origin O has radius 7 cm, OC is median of Δ OAB. Find the length of median OC. Ans: Step 1: In the given circle, OA and OB are the radii of the same circle and they intersect at 90 degrees (coordinates) Δ AOB, by Pythagoras […]

Q) A dealer sells an article for Rs. 75 and gains as much percent as the cost price of the article. Find the cost price of the article. Ans: Let’s consider the cost price of the article is X At sales price of Rs. 75, his profit is 75 – X The percentage % gain

Q) A person standing on the bank of a river observes that the angle of elevation of the top of a tower on the opposite bank is 60°. When he moves 30 m away from the bank, he finds the angle of elevation to be 30°. Find the height of the tower and width of

Q) Given that 2 is a root of the equation 3×2 – p(x + 1) =0 and that the equation px2 – qx + 9 = 0 has equal roots, find the value of p and q. Ans: Step 1: Since 2 is a root of the equation 3 x2 – p (x + 1) =0, therefore it

Q) A man has a Recurring Deposit Account in a bank for 3½ years. If the rate of interest is 12% per annum and the man gets Rs. 10,206 on maturity, find the value of monthly instalments. Ans: Given that: RD tenure = 3.5 years = 42 months Rate of Interest = 12% p.a. Maturity amount

Q) Mr Gupta opened a recurring deposit account in a bank. He deposited Rs. 2500 per month for two years. At the time of maturity, he got Rs. 67,500. Find:(i) The total interest earned by Mr Gupta.(ii) The rate of interest per annum Ans: (i) Total Interest earned Let’s consider time period be ‘n’ months

Q) Mr Gupta opened a recurring deposit account in a bank. He deposited Rs. 2500 per month for two years. At the time of maturity, he got Rs. 67,500. Find: (i) The total interest earned by Mr Gupta. (ii) The rate of interest per annum Ans: (i) Total Interest earned Let’s consider time period be

Q) For a trader, market price of a refrigerator is Rs. 15,680 exclusive of GST (GST is 12%). Gagan, a customer for this refrigerator asks the trader to reduce the price of the refrigerator to such an extent that its reduced price plus GST is equal to the marked price of the refrigerator. Find the

Q) Kavita has given time deposit in her bank. She deposited Rs. 600 per month and gets Rs. 6,165 at the time of maturity. If Rate of interest is 6% per annum, find total time for which account was held. Ans: Given that: Maturity value of RD account = Rs. 6, 165 (given) Monthly instalment,

Q) Ashraf went to see a movie. He wanted to purchase a movie ticket for Rs. 80. As the ticket for Rs. 80 was not available he purchased a ticket for Rs. 120 of upper class. How much extra GST did he pay for the ticket? (GST for a ticket below Rs. 100 is 18%