Discount
- If the discount on a certain sum in 2 years at a certain rate is $ 150 and the interest in 3 years is $ 240. Find the sum and the rate of interest.
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Given :- Interest for 3 years = $ 240.
Interest for 2 year = 240 × 2 = $160 3
Banker 's Discount = $160
Discount for 2 years = $150
True Discount = $150Sum due = Banker 's Discount × True Discount = 160 × 150 = $ 2400 Banker 's Discount - True Discount 160 - 150 Rate of interest = Interest × 100 % Sum due × Time Correct Option: A
Given :- Interest for 3 years = $ 240.
Interest for 2 year = 240 × 2 = $160 3
Banker 's Discount = $160
Discount for 2 years = $150
True Discount = $150Sum due = Banker 's Discount × True Discount = 160 × 150 = $ 2400 Banker 's Discount - True Discount 160 - 150 Rate of interest = Interest × 100 % Sum due × Time Rate of interest = 240 × 100 = 3 1 % 2400 × 3 3
- If a commission of 10% is given on the written price of an article, the gain is 20%. The gain per cent, when the commission is increased to 20%, will be ?
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Let MP of the article = ₹ N
∴ SP of the article = N x (100 - 10)/100 = ₹ 9N/10
⇒ CP of the article = [(9N/10) x 100]/(100 + 20)
= (9N x 10)/120
= ₹ 3N/4
Now, new SP of the article = [N x (100 - 20)]/100 = ₹ 4N/5
New profit = 4N/5 - 3N/4 = (16N - 15N)/20 = ₹ N/20
Hence, profit per cent = [(N/20) / (3N/4)] x 100 %Correct Option: A
Let MP of the article = ₹ N
∴ SP of the article = N x (100 - 10)/100 = ₹ 9N/10
⇒ CP of the article = [(9N/10) x 100]/(100 + 20)
= (9N x 10)/120
= ₹ 3N/4
Now, new SP of the article = [N x (100 - 20)]/100 = ₹ 4N/5
New profit = 4N/5 - 3N/4 = (16N - 15N)/20 = ₹ N/20
Hence, profit per cent = [(N/20) / (3N/4)] x 100 %
= (4 x 100)/(3 x 20) %
= 62/3%
- The cost price of an article is 64% of the marked price. The gain percentage after allowing a discount of 12% on the marked price is
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Let MP of the article = ₹ N
∴ C P of the article = (N x 64) / 100 = ₹ 16N/25
And SP of the article = [N x (100 - 12)]/100 = ₹ (N x 22)/25
⇒ profit = [ 22N/25 - 16N/25 ] = ₹ 6N/25Correct Option: A
Let MP of the article = ₹ N
∴ C P of the article = (N x 64) / 100 = ₹ 16N/25
And SP of the article = [N x (100 - 12)]/100 = ₹ (N x 22)/25
⇒ profit = [ 22N/25 - 16N/25 ] = ₹ 6N/25
Hence, profit per cent = [(6N/25) / (16N/25)] x 100%
= (6 x 100)/16 = 37.5%
- The B.G. on a sum due 3 years at 10 % is $ 180. The B.D. is :
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Here , Rate = 10% , Time = 3 years , B.G. = $ 180
T.D. = B.G. x 100 = $ 180 x 100 = $ 600 R x T 10 x 3 Correct Option: B
Here , Rate = 10% , Time = 3 years , B.G. = $ 180
T.D. = B.G. x 100 = $ 180 x 100 = $ 600 R x T 10 x 3
∴ Banker 's Discount ( B.D. ) = True discount + Banker 's Gain ( B.G. )
Banker 's Discount ( B.D. ) = $ (600 + 180) = $ 780.
- A merchant purchases a wrist watch for ₹ 450 and fixes its list price in such a way that after allowing a discount of 10%, he earns a profit of 20%. Then, the list price of the watch is
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CP of watch = ₹ 450
SP of watch = 450 x [(100 + 20)/100] = ₹ 540Correct Option: A
CP of watch = ₹ 450
SP of watch = 450 x [(100 + 20)/100] = ₹ 540
∴ List price of watch = (540 x 100) / (100 - 10) = ₹ 600
