Read the instructions given below carefully and answer the question that follows :
Five women decided to go shopping at a mall. They arrived at the designated meeting place in the following order: 1. Archana, 2. Chellamma, 3. Dhenuka, 4. Helen, and 5. Shahnaz. Each woman spent at least Rs. 1000. Below are some additional facts about how much they spent during their shopping spree.
i. The woman who spent Rs. 2234 arrived before the lady who spent Rs. 1193.
ii. One woman spent Rs. 1340 and she was not Dhenuka.
iii. One woman spent Rs. 1378 more than Chellamma.
iv. One woman spent Rs. 2517 and she was not Archana.
v. Helen spent more than Dhenuka.
vi. Shahnaz spent the largest amount and Chellamma the smallest.
What is the difference in the amount spent by the woman who spent the second-highest amount and the amount spent by Helen?
Solution
Smallest Amount: Let C be Chellamma’s spending.
Largest Amount: One woman spent Rs. 1378 more than Chellamma (From iii).
Given Values: We are given Rs. 2234, Rs. 1193, Rs. 1340, and Rs. 2517.
Now, since
Shahnaz (5th) spent the largest amount (From vi), and Rs. 2517 is the highest explicit value given, let's test if Rs. 2517 is the "largest."
If Rs. 2517 is the largest, then: Smallest (Chellamma) = 2517 − 1378 = 1139.
The five amounts are: Rs. 1139, Rs. 1193, Rs. 1340, Rs. 2234, and Rs. 2517.
We know the arrival order: 1. Archana, 2. Chellamma, 3. Dhenuka, 4. Helen, 5. Shahnaz.
Shahnaz: Rs. 2517 (Largest - From vi).
Chellamma: Rs. 1139 (Smallest - From vi).
Archana: Cannot be Rs. 2517 (From iv). (i) says the woman who spent Rs. 2234 arrived before the one who spent Rs. 1193. Since Archana is 1st, she is the only one who can be Rs. 2234 to satisfy this for multiple people.
Now, the remaining amounts are Rs. 1193 and Rs. 1340.
From ii: Dhenuka is not Rs. 1340. Therefore, Dhenuka = Rs. 1193.
From v: Helen spent more than Dhenuka (1340 > 1193).
| Arrival Order | Name | Amount Spent |
| 1 | Archana | Rs. 2234 |
| 2 | Chellamma | Rs. 1139 |
| 3 | Dhenuka | Rs. 1193 |
| 4 | Helen | Rs. 1340 |
| 5 | Shahnaz | Rs. 2517 |
Second Highest Amount: Rs. 2234 (Archana)
Helen's Spending: Rs. 1340
Difference: 2234 − 1340 = 894
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