Hello everyone and welcome to the GMAT Club's Question Discussion Group Post all GMAT Questions Questions such as Quant, Verbal, or DI here. For strategy, debriefs, and study buddy, visit those specific groups. Thank you! Looking for the chatgroup instead? Join the chat group here

Data Sufficiency Butler: September 2024 September 12 DS 1 DS 2

Problem Solving Butler: September 2024 September 13 PS 1 PS 2

Critical Reasoning Butler: September 2024 September 13 CR 1 CR 2

Data Sufficiency Butler: September 2024 September 13 DS 1 DS 2

Hi, Can anyone help with this question?

Let’s assume the merchant intends to buy and sell 1 meter (100 cm) of cloth. ### When buying: - The merchant uses a 120 cm faulty scale instead of 100 cm. - So, when he buys 1 meter of cloth, he actually gets \( \frac{120}{100} \times 100 = 120 \) cm of cloth. - Therefore, for every 1 meter he buys, he gets 1.2 meters of cloth. ### When selling: - The merchant uses an 80 cm faulty scale instead of 100 cm. - So, when he sells 1 meter of cloth, he actually gives only \( \frac{80}{100} \times 100 = 80 \) cm of cloth. - Therefore, for every 1 meter he sells, he actually gives 0.8 meters of cloth. ### Profit without discount: - The merchant buys 1.2 meters of cloth and sells only 0.8 meters as 1 meter. - The effective amount of cloth sold for 1 meter is \( \frac{1.2}{0.8} = 1.5 \). - Therefore, his profit is \( 1.5 - 1 = 0.5 \) or 50%. ### Considering the discount: - After offering a 20% discount, the merchant sells the cloth at 80% of the price. - So, the selling price becomes 80% of the marked price, which reduces his profit. ### Adjusted profit with the discount: - The profit with the discount is \( 1.5 \times 0.8 = 1.2 \). - Therefore, his profit is \( 1.2 - 1 = 0.2 \) or 20%. Thus, the merchant’s overall profit is **20%**.

Let x, y and z be the number of lawyers with licence in only each of the states respectively. Let a be the number of lawyers with licence in all 3 states x + a = 10. (1) y + a = 11. (2) Z + a = 13. (3) x + y + z = 28 (4) Therefore: x = 10 - a. (5) y = 11 - a. (6) z = 13 - a. (7) 10-a+11-a+13-a =28 34 -2a = 28 2a = 6 a = 3 From eqn 7 z = 13 - 3 z = 10 update to 10-a+11-a+13-a+ a = 28 Same solution, missed writing the “+a” part

Logical Way: 28 Lawyers but 10+11+13 = 34 counts. It means, we have 6 counts extra coming from lawyers who are on a triple duty (double duty is forbidden as it is given that a lawyer either works at 1 firm OR all 3). Those on triple duty are leaving 2 counts each extra....6/2 = 3 This means, there are 3 lawyers that are on triple duty. So, each firm’s count minus 3 will give lawyer’s working only for their own firm, which is 13 - 3 = 10 in case of firm Z Mathematical Way : Let P be lawyers working for ONLY 1 firm Let Q be lawyers working for all the 3 firms Total count = 10+11+13 = 34 Number of lawyers = 28 (given) So, P*1 + Q*3 = 34 and, P + Q = 28 This gives P as 25, and Q as 3. Lawyers working only at a single firm would be firm size minus Q, which, for Firm Z, is 13 - 3 = 10

Practice Questions Chat : General GMAT Questions and Strategies

	Manhattan Prep: $99 Bonus Score Higher on Your GMAT Exam. Guaranteed.
	Target Test Prep - Save up to $599 $400 Discount + $99 Bonus GMAT Club Tests
	e-GMAT: 60% Off on GMAT Focus Get to 735+ from any starting point
	Magoosh increases your score, guaranteed - 15% off ALL Magoosh GMAT plans with code GMATCLUB15 + Free GMAT Club Tests.
	Experts' Global - ~~$1720~~ $960 End-to-End GMAT Prep + App Support: 150+ Videos, 2000+ Questions, 15 FLTs +
	GMATWhiz - $299 ~~$499~~ Experience the course through a free trial.
	GMAT Club Tests - Free Included with every course purchase of $149+ View all deals

Practice Questions Chat

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

Critical Reasoning Butler: September 2024
September 13	CR 1	CR 2