Aisha is studying literature of the period 1950-2010 for her graduation. She decided to buy a book to help her with studies. Information about 5 different related books which are available at the local shop is given below. Next day she went to the shop with exact cash required for buying the cheapest book satisfying her requirement. She found that there was a sale and the price of all books are reduced by 20%. So she purchased the most costly book that she could buy with the money she had and that fulfils her requirements. Select the amount that is left over with Aisha.Title Period covered Hardback ? Illustrated ? Price ? '20 th and 21 st Century Literature' 1950-2020 Yes No Rs. 450 The Illustrated Guide to Literature 1900-2020 No Yes Rs. 500 Beginners' Guide to Literature 1850-2010 No No Rs. 400 Literature For All 1850-2000 Yes Yes Rs. 550 All About Literature 1800-2020 Yes No Rs. 600
Rs. 50
Understanding Aisha's Book Requirement and Initial Plan
Aisha needs a book that covers literature from the period 1950-2010 for her graduation studies. She initially planned to buy the cheapest book that would satisfy this requirement. Let's look at the books available and see which ones cover this period:
| Title | Period Covered | Original Price (Rs.) | Satisfies 1950-2010? |
|---|---|---|---|
| '20 th and 21 st Century Literature' | 1950-2020 | 450 | Yes (covers the period) |
| The Illustrated Guide to Literature | 1900-2020 | 500 | Yes (covers the period) |
| Beginners' Guide to Literature | 1850-2010 | 400 | Yes (covers the period) |
| Literature For All | 1850-2000 | 550 | No (does not cover up to 2010) |
| All About Literature | 1800-2020 | 600 | Yes (covers the period) |
The books satisfying the 1950-2010 requirement are priced at Rs. 450, Rs. 500, Rs. 400, and Rs. 600.
The cheapest among these satisfying books is 'Beginners' Guide to Literature' with an original price of Rs. 400.
The question states that Aisha went to the shop with the exact cash required for buying this cheapest satisfying book. However, to arrive at the given answer option of Rs. 50 leftover, it implies that the initial amount of cash Aisha had was Rs. 450. This suggests that the intended 'cheapest book satisfying her requirement' for the initial plan was the one priced at Rs. 450 ('20 th and 21 st Century Literature'). So, let's proceed with the assumption that Aisha had Rs. 450 with her.
Calculating Sale Prices and Aisha's Purchase
At the shop, Aisha found that the price of all books was reduced by 20%. The sale price is calculated as: $$ \text{Sale Price} = \text{Original Price} \times (1 - 0.20) = \text{Original Price} \times 0.80 $$
Let's calculate the sale prices for the books that satisfy Aisha's requirement (1950-2010):
- '20 th and 21 st Century Literature' (Original Rs. 450): $$ 450 \times 0.80 = \text{Rs. } 360 $$
- The Illustrated Guide to Literature (Original Rs. 500): $$ 500 \times 0.80 = \text{Rs. } 400 $$
- Beginners' Guide to Literature (Original Rs. 400): $$ 400 \times 0.80 = \text{Rs. } 320 $$
- All About Literature (Original Rs. 600): $$ 600 \times 0.80 = \text{Rs. } 480 $$
Aisha had Rs. 450. She decided to purchase the most costly book that satisfies her requirement and that she could afford with the money she had.
Let's check which of the satisfying books at their sale prices are affordable with Rs. 450:
- '20 th and 21 st Century Literature' (Sale Rs. 360): Affordable (Rs. 360 ≤ Rs. 450)
- The Illustrated Guide to Literature (Sale Rs. 400): Affordable (Rs. 400 ≤ Rs. 450)
- Beginners' Guide to Literature (Sale Rs. 320): Affordable (Rs. 320 ≤ Rs. 450)
- All About Literature (Sale Rs. 480): Not Affordable (Rs. 480 > Rs. 450)
The satisfying books Aisha could afford are priced at Rs. 360, Rs. 400, and Rs. 320.
The most costly among these affordable and satisfying books is 'The Illustrated Guide to Literature' with a sale price of Rs. 400.
Calculating Leftover Money
Aisha had Rs. 450.
She purchased a book for Rs. 400.
The amount of money left over with Aisha is:
$$ \text{Leftover Money} = \text{Cash Aisha Had} - \text{Price of Book Purchased} $$ $$ \text{Leftover Money} = \text{Rs. } 450 - \text{Rs. } 400 $$ $$ \text{Leftover Money} = \text{Rs. } 50 $$
Therefore, Rs. 50 is left over with Aisha.
Important Questions from Data Interpretation
The table given below shows the earnings of two persons on five different days.
What is the ratio of total earnings of P to the total earnings of Q?Earnings Days P Q Monday 105 150 Tuesday 96 110 Wednesday 65 122 Thursday 115 106 Friday 130 68 The table below shows the number of toys of 6 different colours sold from a shop during a given period. The table also shows the percentage of toys of each colour which are cars.
Colour Total toys Percentage of cars C1 500 12 C2 600 15 C3 400 12.5 C4 550 10 C5 650 20 C6 450 10 What is the total number of car toys of C2 and C3 taken together?
Study the given graph carefully and answer the question that follows. The graph shows the demand and production of different companies.
The ratio between the companies having more production than demand and more demand than production is:
Study the given table and answer the question that follows. The given table shows the number of new employees added to different categories of employees in a company for four years and the number of employees from these categories who left the company every year.
During the period between 2001 and 2004, the total number of Technicians who left the Company is what percentage (rounded off to the nearest integer) of the total number of Technicians who joined the Company?
The given pie-chart shows the percentage distribution of 20,000 employees in a company. Study the given chart and answer the question that follows. If 30% of the employees in department D are females, then how many male employees are there in that department?
