Advertisements
Advertisements
Question
Vaidegi sold two sarees for ₹ 2200 each. On one she gains 10% and on the other she loses 12%. Find her total gain or loss percentage in the sale of the sarees
Advertisements
Solution
Saree 1 :
The selling price is ₹ 2200, let cost price be C.P1, gain is 10%. We need to find C.P1
Using the formula
S.P = `"C.P"_1(1 + ("gain"%)/10)` and substituting the values
2200 = `"C.P"_1(1 + 10/100)`
∴ C.P1 = `2200 xx 100/110`
= 2000
Saree 2 :
The selling price is 2200, let cost price be CP2, loss is given as 12%. We need to find CP2
using the formula as before,
S.P = `"C.P"_2 (1 - ("loss"%)/100)` and substituting the values
2200 = `"C.P"_2 (1 - 12/100)`
= `"C.P"_2 xx ((100 - 12)/100)`
= `"C.P"_2 xx 88/100`
∴ C.P2 = `(2200 xx 100)/88`
= 2500
∴ Cost price of both together is C.P1 + C.P2
= 2000 + 2500 = 4500 ...(1)
Selling price of both together is 2 × 2200 = 4400 ...(2)
Since net selling price is less than net cost price, there is a loss.
Loss % = `"loss"/"cost price" xx 100`
Loss = Net cost price – Net selling price
(1) – (2) = 4500 – 4400 = 100
∴ loss % = `100/4500 xx 100`
= `100/45`
= `20/9`
= `2 2/9%`
= `2 2/9%` loss
APPEARS IN
RELATED QUESTIONS
A shopkeeper allows 20% off on the marked price of goods and still gets a profit of 25%. What is the actual cost to him of an article marked Rs 500?
A retailer buys an article at a discount of 20% on the listed price from a wholesaler. The shopkeeper marks up the price by 10% on the listed price. A buyer pays Rs 231 to get it after paying a sales tax at the rate of 5% on the price asked for. Find the profit percentage.
From a wholesaler, Santosh bought 400 eggs for Rs 1500 and spent Rs 300 on transport. 50 eggs fell down and broke. He sold the rest at Rs 5 each. Did he make a profit or a loss? How much?
An article is sold for ₹ 555 at a loss of `7 1/2%`. The cost price of the article is ________
A stationery shop owner bought a scientific calculator for ₹ 750. He had put a battery worth ₹ 100 in it. He had spent ₹ 50 for its outer pouch. He was able to sell it for ₹ 850. Find his profit or loss
In case of gain, S.P. = `((100 + "gain"%) xx "C.P.")/100`.
A lady buys some pencils for Rs 3 and an equal number for Rs 6. She sells them for Rs 7. Find her gain or loss%.
A store is having a 25% discount sale. Sheela has a Rs 50 gift voucher and wants to use it to buy a board game marked for Rs 320. She is not sure how to calculate the concession she will get. The sales clerk has suggested two ways to calculate the amount payable.
- Method 1: Subtract Rs 50 from the price and take 25% off the resulting price.
Which method do you think stores actually use? Why?
With the decrease in prices of tea by 15% Tonu, the chaiwallah, was able to buy 2 kg more of tea with the same Rs 45 that he spent each month on buying tea leaves for his chai shop. What was the reduced price of tea? What was the original price of tea?
The marked price of an article is ₹ 2,000. The GST on the article is 12% and discount is ₹ 500, the total amount to be paid is ______.
