What was the total number of households met by Tohri, Hokli and Lahur on the first day?

CAT Question Paper | CAT Verbal Ability Slot

Question :

What was the total number of households met by Tohri, Hokli and Lahur on the first day?

Started 1 month ago by Shashank in

Answer : 84

Explanatory Answer

1. Over the two days, all three of them met the same total number of households, and each of them sold a total of 100 items.

Set 1

Set 1

2. On both days, Lahur met the same number of households and sold the same number of items.

Set 1

3. Hokli could not sell any item on the second day because the first household he met on that day complained against him.

Set 1

4. Tohri met 30 more households on the second day than on the first day.

Set 1

5. Tohri's success rate was twice that of Lahur's on the first day, and it was 75% of Lahur's on the second day.

Set 1

$\frac{y}{x - 15}$ = $\frac{50}{x}$ *2
$\frac{100 - y}{x + 15}$ = $\frac{50}{x}$ * $\frac{3}{4}$
xy = 100(x–15).
4x(100–y) = 150(x+15)
400x – 4xy = 150(x+15)
400x – 4*100(x–15) = 150(x+15) 400 * 15 = 150 (x+15). x = 25

Set 1

$\frac{y}{10}$ = $\frac{50}{25}$ *2
y = 40

Set 1