top button
Flag Notify
    Connect to us
      Site Registration

Site Registration

What is the product of the first and third part?

+1 vote
187 views

Divide Rs 9516 into 3 parts so that their amount after 2,3 and 4 years respectively may be equal, the rate of interest being 5% per annum at simple interest.
What is the product of the first and third part?

posted Oct 31, 2018 by Varuna Magar

Share this puzzle
Facebook Share Button Twitter Share Button LinkedIn Share Button

1 Answer

0 votes

Let the 3 different principles be P1, P2 & P3. Then according to the question:
P1 + P1×R×T1 = P2 + P2×R×T2 = P3 + P3×R×T3
P1/P2 = 1.15/1.1 = 23/22
P2/P3 = 24/23
P1:P2:P3 = 276 : 264 : 253
P1 = 9516 / (276 + 264 + 253) = 9516/793 = 12
Now P1 = 276 × 12 = 3312; P2 = 264 × 12 = 3168
& P3 = 253 × 12 = 3036.

Verification:
3312 + 3312×0.05×2 = 3643.2
3168 + 3168×0.05×3 = 3643.2
3036 + 3036×0.05×4 = 3643.2.

Product of the 1st and the 3rd part:
3312 × 3036 = 10,055,232

answer Oct 31, 2018 by Tejas Naik



Similar Puzzles
0 votes
Of the two positive numbers,the first is a third of a ninth of the second.If their product is 972, what are the numbers?

Of the two positive numbers, the first is a third of a ninth of the second. If their product is 972, what are the two numbers?

+1 vote
Merchant has 1000 kg of sugar, part of which he sells at 8% profit and rest at 18% profit. He gains 14% on the whole...

A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole.
What is the quantity he sold at 18% profit ?

0 votes
A shopkeeper list a product at 25% above the cost price. If he offers two successive discounts of 16% and 8%...........

A shopkeeper list a product at 25% above the cost price.
If he offers two successive discounts of 16% and 8%, he looses Rs. 51 in this transaction.
When he sells the same product at a straight discount of 24%, what is his lose or gain?

0 votes
A bike is sold at a certain price. By selling it at two third of that...........Find the gain percent at original price.

A bike is sold at a certain price. By selling it at two third of that price one loses 10%. Find the gain percent at original price.

0 votes
If the cost price of a Mobile is first decreased by 25% and then..............What will be the net change in the prices?

If the cost price of a Mobile is first decreased by 25% and then increased by 20%.
What will be the net change in the prices?

...