Question
The ratio of length to breadth of a rectangle is 8:5.
When the length and breadth of the rectangle is increased by 40% and decreased by 25% respectively, then its perimeter becomes 598 cm. Find the original area (in cm2) of the rectangle.Solution
Let the original length and breadth of the rectangle be 8x cm and 5x cm, respectively According to the question, 2 Ă— {(1.4 Ă— 8x) + (0.75 Ă— 5x)} = 598 Or, 11.2x + 3.75x = 299 Or, x = 299/14.95 = 20 Therefore, original area of the rectangle = 8x Ă— 5x = 40x2 = 16000 cm2
The total monthly salary of Mamta and Rishi is Rs 1,10,000 and the ratio of the expenses of Mamta and Rishi is 7:6 and the ratio of savings of Rishi and...
The monthly incomes of P and Q are in the ratio 3:4. P’s monthly expenditure is 25% less than that of Q. If P and Q save Rs. 9,...
'X' allocates 20% of his income to rent, then spends 25% of the remaining income on food. From what is left, he uses 35% on educa...
Monthly incomes of Rohan and Mohan are Rs. 28,000 and Rs. _______, respectively. Rohan and Mohan save 20% and 35% of their respective incomes. The diffe...
The average income of three employees, namely Amit, Bisht, and Cherry, is Rs. 24000. Bisht's income is 10% higher than Amit's, and Cherry's income is 50...
The annual income of Nittu is Rs.120000. She spends 15% on EMS monthly. From the rest she spends '2b'% on clothes. From the remaining she invests in MF ...
 A factory employs three types of workers: skilled, semi-skilled, and unskilled. Skilled workers earn an average monthly salary of 40,000, semi-skilled...
Kiran spends 15% of her salary on transport and one-fourth on rent. She saves 45% of the remaining amount, which is Rs.8100. Find Kiran’s total salary...
Income of Ramesh is Rs. 40,000. He spends 20% on rent, 15% on clothing, 'a%' on food, 25% on others and saves the rest. If his savings is Rs. 8,000, fin...
- If A earns Rs. 30,000, she spends 40% of it on rent and Rs. 3,000 on food, saving the remaining amount. Later, her income rises by 20%, while her rent incr...
Relevant for Exams:
