Question:
Anita had to do a multiplication. Instead of taking 35 as one of the multipliers, she took 53. As a result, the product went up by 540. What is the new product?
Anita had to do a multiplication. Instead of taking 35 as one of the multipliers, she took 53. As a result, the product went up by 540. What is the new product?
Show Hint
When one factor is taken incorrectly, the change in product equals the difference of factors times the other factor.
Updated On: Aug 4, 2025
- 1050
- 540
- 1440
- 1590
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Let the other multiplier be $x$. Difference in chosen numbers = $53 - 35 = 18$. Increase in product = $18x = 540 \Rightarrow x = 30$.
New product = $53 \times 30 = 1590$ (Check: Increase from old product $35 \times 30 = 1050$ is 540). New = $1050 + 540 = 1590$. Wait — matches option (4). Correction: Correct Answer = (4) 1590.
New product = $53 \times 30 = 1590$ (Check: Increase from old product $35 \times 30 = 1050$ is 540). New = $1050 + 540 = 1590$. Wait — matches option (4). Correction: Correct Answer = (4) 1590.
Was this answer helpful?
0
0
Top Questions on Arithmetic
- Davji Shop sells samosas in boxes of different sizes. The samosas are priced at Rs. 2 per samosa up to 200 samosas. For every additional 20 samosas, the price of the whole lot goes down by 10 paise per samosa. What should be the maximum size of the box that would maximise the revenue?
- A piece of string is 40 cm long. It is cut into three pieces. The longest piece is three times as long as the middle-sized and the shortest piece is 23 cm shorter than the longest piece. Find the length of the shortest piece.
- Three travellers are sitting around a fire, and are about to eat a meal. One of them has 5 small loaves of bread, the second has 3 small loaves of bread. The third has no food, but has 8 coins. He offers to pay for some bread. They agree to share the 8 loaves equally among the three travellers, and the third traveller will pay 8 coins for his share of the 8 loaves. All loaves were the same size. The second traveller (who had 3 loaves) suggests that he will be paid 3 coins, and that the first traveller be paid 5 coins. The first traveller says that he should get more than 5 coins. How much should the first traveller get?
- At a bookstore, 'MODERN BOOK STORE' is flashed using neon lights. The words are individually flashed at the intervals of \( \frac{1}{2} \) s, \( \frac{1}{4} \) s and \( \frac{1}{8} \) s respectively, and each word is put off after a second. The least time after which the full name of the bookstore can be read again is:
- Three pieces of cakes of weights \( 4 \frac{1}{2} \) lb, \( 6 \frac{3}{4} \) lb and \( 7 \frac{1}{5} \) lb respectively are to be divided into parts of equal weight. Further, each part must be as heavy as possible. If one such part is served to each guest, then what is the maximum number of guests that could be entertained?
View More Questions
Questions Asked in CAT exam
- ABCD is a rectangle with sides AB = 56 cm and BC = 45 cm, and E is the midpoint of side CD. Then, the length, in cm, of radius of incircle of \(\triangle ADE\) is
- CAT - 2024
- Mensuration
- Two places A and B are 45 kms apart and connected by a straight road. Anil goes from A to B while Sunil goes from B to A. Starting at the same time, they cross each other in exactly 1 hour 30 minutes. If Anil reaches B exactly 1 hour 15 minutes after Sunil reaches A, the speed of Anil, in km per hour, is
- CAT - 2024
- Time, Speed and Distance
- The selling price of a product is fixed to ensure 40% profit. If the product had cost 40% less and had been sold for 5 rupees less, then the resulting profit would have been 50%. The original selling price, in rupees, of the product is
- CAT - 2024
- Profit and Loss
- Suppose $x_1, x_2, x_3, \dots, x_{100}$ are in arithmetic progression such that $x_5 = -4$ and $2x_6 + 2x_9 = x_{11} + x_{13}$. Then, $x_{100}$ equals ?
- CAT - 2024
- Arithmetic Progression
- A circular plot of land is divided into two regions by a chord of length $10\sqrt{3}$ meters such that the chord subtends an angle of $120^\circ$ at the center. Then, the area, in square meters, of the smaller region is
- CAT - 2024
- Mensuration
View More Questions