Question
Two years ago the ratio of annual salary of three
friends P, Q and R is 4 : 3 : 5. Every year since then the salary of P, Q and R increases by 10%, 12% and 50% respectively. If the present monthly salary of P is 19,360, then what was the monthly salary of R one year ago?Solution
Let annual salary of P, Q and R two years ago be 4x, 3x and 5x respectively. Present salary of P = Rs. 19,360 (given) ∴ 4x× 110/100×110/100 × 1/12 = 19,360 ⟹ 121x/300 = 19360 ∴ x = (19360 × 300)/121 ∴ x = Rs. 48,000 ∴ R’s annual salary two years ago = 5x = 5 × 48,000 = Rs. 2,40,000 p.a. ∴ R’s annual salary one years ago = 2,40,000 × 150/100 = Rs. 3,60,000 p.a. ∴ R’s monthly salary one year ago = 360000/12 = Rs. 30,000 p.m.
Find total number of ways in which the word “COMMISSION” can be arranged.
How many 6-digit numbers can be formed from the digits 0,3,4,5,6 and 8, in which the digits are not repeated?
Geography books are always together.
In how many different ways can the letter of the word ‘JUSTICE’ be arranged?
How many different words can be formed with the letters of the word PRACTICE such that each of the word begin with E and ends with R?
Find the number of words formed by using all the letter of the word MEMBER, so that the vowels are always together.
...How many 5-digit even numbers can be formed using the digits 0 to 9 if no digit is repeated?
In how many different ways can the letters of the word ‘VARIOUS’ be arranged in such a way that the vowels occupy only the odd positions?
...In how ways can the selection be made so that a particular member is always excluded?
...In how many ways can the letters of the word ‘MEDICAL’ be rearranged so that the vowels never come together?
Relevant for Exams:
