Question
A bag contains 7 red gems, 8 yellow gems
and 5 green gems . 3 gems are drawn randomly. What is the probability that the gems drawn contain gems of different colours?Solution
Total number of gems = 7 + 8 + 5 = 20 Let S be the sample space. Then, n(S) = number of ways of drawing 3 gems out of 20 = 20C3 = `(20 xx 19 xx 18)/ (3 xx 2 xx 1)` = 1140 Let E= event of drawing 3 gems of the different colour n(E) = 7C1 `xx` 8C1 `xx` 5C1 = 7 `xx` 8 `xx` 5 = 280 `:.` P(E) = `(n(E))/(n(S))` = `280/1140` = `14/57`
Ajay invested Rs.a in SI at 5% rate of interest per annum for 8 years. Vishal invested the same amount in SI at 3% rate of interest per annum for 4 year...
There is 40% increase in an amount in 8 years at simple interest. What will be the compound interest of Rs. 16,000 after 3 years at the same rate?
Shivam invested 24000 at 15% p.a. simple interest for ‘x’ months. If at the end of ‘x’ months, he received a total amount of Rs.26400. What is t...
A man invests ₹50,000 in two schemes A and B for 1 year. Scheme A offers 12% simple interest and Scheme B offers 10% compound interest, compounded ann...
A person lends ₹16,000 to a client at a simple interest rate of 8% per annum. After 30 months, the client repays ₹9,200 and requests an extension fo...
A sum of money C is Rs. 8000 more than B, B and C are invested at 10% p.a and 12.5% p.a, S.I for two years and the difference between the interest obtai...
Rs. 95Y invested for 2 years at simple interest of 16% p.a., yields an interest of Rs. 3040. If Rs. 115Y is invested for 2 years at compound interest (c...
A Motorbike can be purchased on cash payment of Rs. 30000. But the same Motorbike can also be purchased on the cash down payment of Rs 7000 and the rest...
- A sum of Rs. 1,500 is invested at a simple interest rate of 10% per annum for 18 months. If the interest earned is Rs. 'q', find the value of (q - 15).
At what % of simple interest per annum will Rs. 320 amount to Rs. 480 in five years?
