The difference between a discount of 40% on Rs.500 and two successive discounts of 36% and 4% on the same amount is
The difference between a discount of 40% on Rs.500 and two successive discounts of 36% and 4% on the same amount is
The difference between a discount of 40% on Rs.500 and two successive discounts of 36% and 4% on the same amount is
Nithin ? undefined
Correct answer is: Rs.7.20
Explanation:
Discount of 40% on Rs.500
\(= \frac{500 \times 40}{100}\)= Rs.200
and single discount per cent equivalent to 36% and 4%
\(= \left(r_{1}+r_{2}-\frac{r_{1}r_{2}}{100}\right)\%\)
\(= 36+4-\frac{36 \times 4}{100}=40-1.44 = \text{38.56%}\)
Therefore, Discount by 38.56% on 500
\(= \frac{38.56 \times 500}{100} = \text{Rs.192.80}\)
Hence, required difference = (200 - 192.80} = Rs.7. 20
A T-shirt marked at Rs. 400 is sold for Rs.360. The rate of discount is
Nithin ? undefined
Correct answer is: 10%
Explanation:
Discount
\(= \frac{400-360}{400} \times 100\)
= 10%
A shopkeeper marks his goods at such a price that after allowing a discount of 12.5 % on the marked price, he still earns a profit of 10%. The marked price of an article which costs him Rs. 4900 is -
Nithin ? undefined
Correct answer is: Rs. 6160
Explanation:
\(\eqalign{ & {\text{C}}{\text{.P}}{\text{. = Rs}}{\text{. 4900}}{\text{.}} \cr & {\text{S}}{\text{.P}}{\text{. = 110}}\% {\text{ of Rs}}{\text{.4900}} \cr & {\text{ = Rs}}{\text{.}}\left( {\frac{{110}}{{100}} \times 4900} \right) \cr & = {\text{Rs}}{\text{. 5390}}{\text{.}} \cr & {\text{Let marked price be Rs}}{\text{.}}x \cr & {\text{Then,}} \cr & {\text{ = 87}}\frac{1}{2}\% {\text{ of }}x{\text{ = 5390}} \cr & \Rightarrow \left( {\frac{{175}}{2} \times \frac{1}{{100}} \times x} \right) = 5390 \cr & \Rightarrow x = \left( {\frac{{5390 \times 8}}{7}} \right) = 6160 \cr & \therefore {\text{Marked price}} = {\text{Rs}}{\text{.6160}} \cr}\)
A book is listed at Rs. 150, with a discount of 20 per cent. What additional discount must be offered to bring the net price to Rs. 108 ?
Nithin ? undefined
Correct answer is: None of these
Explanation:
Selling price after given 20% discount
\(\eqalign{ & = 150 \times \frac{{\left( {100 - 20} \right)}}{{100}} \cr & = 120 \cr & {\text{So,}} \cr & \Rightarrow 120 \times \frac{x}{{100}} = 108 \cr & \Rightarrow x = 90 \cr}\)
∴ Required additional discount = (100 - 90)% = 10%
On a Rs. 10000 payment order, a person has choice between 3 successive discounts of 10%, 10% and 30%, and 3 successive discounts of 40%, 5% and 5%. By choosing the better one he can save (in rupees)
Nithin ? undefined
Correct answer is: 255
Explanation:
Final price in 1st case
= 70% of 90% of 90% of Rs. 10000\(\eqalign{ & = {\text{Rs}}{\text{.}}\left( {\frac{{70}}{{100}} \times \frac{{90}}{{100}} \times \frac{{90}}{{100}} \times 10000} \right) \cr & = {\text{Rs}}{\text{. 5670}}{\text{}} \cr}\)
Final price in 2nd case
= 95% of 95% of 60% of Rs. 10000\(\eqalign{ & = {\text{Rs}}{\text{.}}\left( {\frac{{95}}{{100}} \times \frac{{95}}{{100}} \times \frac{{60}}{{100}} \times 10000} \right) \cr & = {\text{Rs}}{\text{. 5415}}{\text{}} \cr}\)
∴ Money saved by choosing the better offer
= Rs. (5670 - 5415)
= Rs. 255