Question
'R' spends 30% of his monthly income on utilities, 35%
on household expenses, and 10% of the remaining amount on transportation. He saves the rest in a savings account that gives simple interest at a rate of 12% per annum. Find the amount 'R' will get at the end of the year if his spending on transportation is Rs. 800 per month.Solution
Let monthly income = Rs. 100z Spending on utilities = 100z × 0.3 = Rs. 30z Spending on household expenses = 100z × 0.35 = Rs. 35z Spending on transportation = (100z – 30z – 35z) × 0.1 = Rs. 3.5z Savings = 100z – 30z – 35z – 3.5z = Rs. 31.5z Now, 3.5z = 800 Or, 31.5z = 7200 Total interest paid by the savings account: = P × r × t = 7200 × 12 × 1/100 = Rs. 864 Amount = 7200 + 864 = Rs. 8064
- Two numbers are chosen at random without replacement from the set of first 20 natural numbers. Find the probability that both the numbers are even.
Given that E and F are events such that P(E) = 0.7, P(F) = 0.4 and P(E ∩ F) = 0.3, find P(E|F) and P(F|E)
A committee of 4 members is to be formed from 6 men and 4 women. Find the probability that the committee will have at least 2 women.
16 rotten bananas are accidentally mixed with 155 good ones. It is not possible to just look at a banana and tell whether or not it is rotten. One banan...
A bag contains 7 green balls, 5 blue balls, and 10 yellow balls. A box contains 3 green balls and 8 yellow balls. A ball is randomly drawn from the box ...
In a cricket world cup the probability that India will win the cup is ¼. The Probability of Pakistan winning the cup is 1/5 and Australia winning the c...
There are ‘x’ white balls and 5 black balls in a jar. If the probability of picking a white ball is 2/3, then calculate the probability that the two...
A bag contains 4 white balls, 9 red balls, and 5 green balls. Two balls are drawn at random. Find the probability that the two balls are red.
A container has 'p' orange balls and 15 purple balls. If the probability of getting an orange ball is 2/5, then find the probability of getting differen...
- A jar contains six 50 paise coins, six Rs. 1 coins, and twelve Rs. 10 coins. One coin is lost. Find the probability that the lost coin is not a 50 paise co...
Relevant for Exams:
