Simple Interest
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A man invested
of his capital at 7%,
at 8% and the remaining at 10% rate of simple interest. If his annual income from interests is Rs. 561, the capital invested was
-
Rs. 6000
-
Rs. 5600
-
Rs. 6600
-
Rs. 7200
C.
Rs. 6600
Let the total capital invested be Rs. x then,


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A person has left an amount of ₹ 1,20,000 to be divided between his two sons aged 14 years and 12 years such that they get equal amounts when each attains 18 years of age. If the amount gets a simple interest of 5% per annum, the younger son's share at present is
-
₹ 48,800
-
₹ 57,600
-
₹ 62,400
-
₹ 84,400
B.
₹ 57,600
Let the younger son's share be Rs x.
∴ Elder son's share = Rs. (120000 - x)
Now, According to the question
A shopkeeper sold an item at 10% loss after giving a discount equal to half of the marked price. Then the cost of price is
C.
Let the marked price be Rs. 100
Discount = 50% on 100 = Rs. 50
S.P.(Selling Price) = Rs. (100 - 50) = Rs 50
Now,
A sum of Rs. 4000 is lent out in two parts, one at 8% simple interest and the other at 10% simple interest. If the annual interest is Rs. 352. The sum lent at 8% is
-
Rs. 2900
-
Rs. 2200
-
Rs. 2400
-
Rs. 3100
C.
Rs. 2400
By Shortcut Method:Required solution = 8% on 4000 = Rs.320
= 10% on 4000 = Rs.400
Now, Rs (352 - 320) = Rs 32 ...(i)
Rs (400 - 352) = Rs. 48 ...(ii)
Take the opposite ratios from equation (i) and (ii),
i.e. Rs .48 : Rs 32
3 : 2
Thus, Sum lent at 8% is

A sum of Rs. 7,930 is divided into three parts and given on loan at 5% simple interest to A, B and C for 2, 3 and 4 years respectively. If the amounts of all three are equal after their respective periods of loan, then A received a loan of
-
Rs. 3,050
-
Rs. 2,760
-
Rs. 2,750
-
Rs. 2,800
B.
Rs. 2,760
(100 + 5 x 2)% of A = (100 + 5 x 3)% of B = (100 + 5 x 4)% of C
110% of A = 115% of B = 120% of C = k(Let)
∴ Loan received by A

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