Question

Match the entries in Column I with the appropriate entries in Column II:

Column I	Column II
(i) 3:5	(A) ₹ 54
(ii) 2.5	(B) ₹ 47
(iii) 100%	(C) ₹ 53
(iv) `2/3`	(D) ₹ 160
(v) `6 1/4%`	(E) 60%
(vi) 12.5%	(F) 25%
(vii) SP when CP = ₹ 50 and loss = 6 %	(G) `1/16`
(viii) SP when CP = ₹ 50 and profit = ₹ 4	(H) 250%
(ix) Profit% when CP = ₹ 40 and SP = ₹ 50	(I) ₹ 159
(x) Profit% when CP = ₹ 50 and SP = ₹ 60	(J) `66 2/3%`
(xi) Interest when principal = ₹ 800, Rate of interest = 10% per annum nd period = 2 years	(K) 20%
(xii) Amount when principal = ₹ 150, Rate of interest = 6% per annum and period = 1 year	(L) 0.125
	(M) 3 : 2
	(N) ₹ 164
	(O) 3 : 3

Answer 1

Column I	Column II
(i) 3:5	(E) 60%
(ii) 2.5	(H) 250%
(iii) 100%	(O) 3 : 3
(iv) `2/3`	(J) `66 2/3%`
(v) `6 1/4%`	(G) `1/16`
(vi) 12.5%	(L) 0.125
(vii) SP when CP = ₹ 50 and loss = 6 %	(B) ₹ 47
(viii) SP when CP = ₹ 50 and profit = ₹ 4	(A) ₹ 54
(ix) Profit% when CP = ₹ 40 and SP = ₹ 50	(F) 25%
(x) Profit% when CP = ₹ 50 and SP = ₹ 60	(K) 20%
(xi) Interest when principal = ₹ 800, Rate of interest = 10% per annum nd period = 2 years	(D) ₹ 160
(xii) Amount when principal = ₹ 150, Rate of interest = 6% per annum and period = 1 year	(I) ₹ 159

Explanation:

(i) 3 : 5 i.e. `3/5 = 3/5 xx 100/100 = 300/5% = 60%`

(ii) `2.5 = 25/10 xx 100/100 = 2500/10% = 250%`

(iii) `100% = 100/100 = 1 = 1 xx 3/3 = 3/3` i.e. 3:3

(iv) `2/3 = 2/3 xx 100/100 = 200/3% = 66 2/3%`

(v) `6 1/4% = 25/4% = 25/4 xx 1/100 = 1/16`

(vi) `12.5% = 12.5/100 = 0.125`

(vii) C.P. = ₹ 50, Loss = 6%

∴ S.P. = `((100 - 6)/100) xx 50`

= `(94 xx 50)/100`

= ₹ 47

(viii) C.P. = ₹ 50, profit = ₹ 4

∴ S.P. = ₹ (50 + 4) = ₹ 54

(ix) C.P. = ₹ 40, S.P. = ₹ 50

∴ Profit% = `((50 - 40)/40) xx 100`

= `10/40 xx 100`

= 25%

(x) C.P. = ₹ 50, S.P. = ₹ 60

∴ Profit % = `((60 - 50)/40) xx 100`

= `10/50 xx 100`

= 20%

(xi) Principal = ₹ 800,

Rate = 10% p.a.,

Time = 2 years

∴  Interest = `(P xx R xx T)/100`

= `(800 xx 10 xx 2)/100`

= ₹ 160

(xii) Principal = ₹ 150,

Rate = 6% p.a.,

Time = 1 year

Interest = `(150 xx 6 xx 1)/100` = ₹ 9

∴ Amount = ₹ (150 + 9) = ₹ 159