Question
A number is divided into two parts in the ratio of 5 : 6
respectively. The sum of 60 percent of first part and 50 percent of second part is 84. If both parts are increased by 10, then what will be the respective ratio between the sum of old numbers and new numbers?Solution
Let the first part be 5x and the second part be 6x. So, 60% of 5x + 50% of 6x = 84 => [(6 /100) × 5x] + [(50/100) × 6x] = 84 => 3x + 3x = 84 => x = 14 First part = 5x = 5 × 14 = 70 Second part = 6x = 6 × 14 = 84 The old umber will be 70 + 84 = 154 According to question, First part = 5x + 10 = 70 + 10 = 80 Second part = 6x + 10 = 84 + 10 = 94 ∴ The new number obtained is 174 The ratio of the old number to the new number = 154/174 = 77/87
Monthly income of A is Rs. 44500 out of which he spent 22%, 14% and 23% of his total income in rent, medicine and transportation, respectively. Find his...
Gaurav spends 25% of his salary on grocery and 35% of the remaining amount on electricity bills. If Gaurav saves Rs. 33637.5, what is his total salary?
The price of a commodity is increased by 25% and then decreased by 20%. What is the net percentage change in the price?
A jacket originally priced at ₹3,000 is on sale for 20% off. If a 5% sales tax is applied after the discount, what is the final price of the jacket?
- In a mayoral election, candidate P got 75% of the total votes, winning over candidate Q by 9,600 votes. What is the number of votes secured by candidate Q?
Meenu spent 20% of the salary on entertainment and 10% on makeup. She spent 20% of the remaining on the food and 50% of the remaining invested in mutual...
In a school, the number of girls is 25% less than the number of boys. If the number of boys increases by 20% and the number of girls decreases by 10%, f...
Two numbers are respectively 45% and 27% of a third number. What percent of the first number is the second number?
A invested a certain amount in Debt and Equity mutual funds in the ratio of 5: 7 respectively. At the end of one year, he earned a total dividend of 30%...
PQ is a line of length 18 cm. A point R is placed such that PR = 5 cm. If PR is increased by 40%, what percent does QR decrease?
Relevant for Exams:
