Direction: Read the data carefully and answer the question.
Mr. ‘A’ type Different number of Words per Day. He worked for four days. The number of words typed by him on three different days: Monday, Tuesday, and Wednesday are in the ratio 3 : 4 : 2. Also number of words typed by Mr. ‘A’ on Sunday is 30% of the total words typed in four days. The no. of words typed by Mr. ‘A’ on Wednesday is 560.
Find difference between total words type by Mr. ‘A’ on Sunday & Wednesday.
- AOption (a)
540
- BOption (b)
530
- COption (c)
580
- DOption (d)
520
- EOption (e)
None of these
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Correct answer
520
Why this answer is correct
Tabulation Solution :
| Days | Number of Words typed |
|---|---|
| Sunday | 1080 |
| Monday | 840 |
| Tuesday | 1120 |
| Wednesday | 560 |
| Total Words | 3600 |
∴ Required difference = 1080 – 560 = 520
Alternate Method
Let total number of word type by Mr. A in four days = x
The number of words type by Mr. A in Sunday = x × 30/100 = 0.3x
The number of words type by Mr. A in Monday = (x – 0.3x) × 3/9 = 0.7x/3
The number of words type by Mr. A in Tuesday = (x – 0.3x) × 4/9 = 2.8x/9
The number of words type by Mr. A in Wednesday = (x – 0.3x) × 2/9 = 1.4x/9
Given that,
1.4x/9 = 560
⇒ x = 560 × 9/1.4 = 3600
The number of words type by Mr. A in Sunday = 0.3x = 0.3 × 3600 = 1080
The number of words type by Mr. A in Wednesday = 560 (Given)
So, required difference = 1080 – 560 = 520