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%
Q) The maturity value of a R.D account is Rs. 16,176. If monthly investment is Rs. 400 and the rate of interest is 8%, find the time (period) of this R.D. Account. Ans: Given that: Monthly Instalment, P = Rs. 400 Rate of Interest, r = 8 % Maturity value of RD account = Rs.
Q) By investing Rs. 45,000 in 10% Rs. 100 shares, Sharad gets Rs. 3,600 as dividend. Find the market value of each share. Ans: Given values: Investment = Rs. 45,000 Rate of dividend = 10% Nominal value = Rs. 100 Annual dividend = Rs. 3,000 Step 1: Let market value of each share be X
Q) Solve the following inequation and write the solution set: 13x – 5 < 15 x + 4 < 7 x + 12, X∈R Ans: Step 1: Let’s take first 2 entries: 13x – 5 < 15 x + 4 ∴ 13 x < 15 x + 4 + 5 ∴ 0 < 2 x